There's one organic sapient onboard the lead ship.  The rest don't seem to have any organic lifeforms on board at all.

Perhaps - target the other two most heavily, disable the hyperdrive and then weapons capability of the lead ship with some eerily accurate commands (this would be so much easier if she wasn't stuck in a biological meat sack, brains made of neurons have shitty processing power, or if she was using battle meditation, but it's doable).

Then - 

Has her enemy considered the great wisdom of surrendering? (...She does not know what nightmare her's name and rank are supposed to be but she can route around having to give those.)

Her enemy has not considered the great wisdom of surrendering.  They've sent out another wave of the droid starfighters they're using to attack her ships.

It's very hard to send out droid starfighters when your bays have been shot to bits, don't you think? (Anakin closes her eyes, skims along the minds of her troopers without revealing herself - enough to get visual on the enemy ship - and uses that as an anchor and the fire fight as cover to start breaking things directly with the Force.)

It doesn't take long before the ship is dead in space, and soon enough she receives a comm request.

She has her ships temporarily stop tearing the enemy apart and accepts the comm.

A spider-like alien who appears to be nearly half cybernetic appears in the blue of the holo.

"General Skywalker," he chitters, "I did not expect to find you in this system.  What is the Republic doing this far out in the rim?"

Still a Skywalker. Alright. She can roll with that. Male Jedi, Skywalker, general, clones seem surprised she's this competent, she's not using battle meditation - the body feels young, late teens maybe...

"Getting in your way, apparently."

He chitters again. 

"Getting in people's way seems to be your only skill, yes."

"A rather important one for a general."

"Do you feel like surrendering?"

"Do I wish to surrender?" he chitters again, "No.  Unfortunately, it does seem as though your unfortunate tendency to be whereever you are most unwanted has managed to gain you the upper hand, this time.  I am willing to hear your terms."

She does remember how terms of surrender work. Nothing too onerous for 'we stop shooting you' - basic cooperation, don't resume hostilities, be a nice well behaved prisoner, etc. She does want to wiggle more information out of him, but she'd rather not have to kill him, so, standard surrender with dignity intact it is.

He accepts, grudgingly.  The droid starfighters all return to the main ship, and the shields and weapons bank power down.

Not as bad as it could've gone. 

She does try to draw out of her clone commanders what they expect to be doing with prisoners of war - she (somewhat privately) wants to spend a bit more time on this planet, check everything she can for 'a way back,' make sure this nightmare's Separatists (or, worse, Sith) don't find their way through -

Palpatine is going to be alive here, isn't he. Unless something else has changed, but - so far, all she's seeing different is the gender flip and that her gender flipped self isn't using battle meditation yet. 

Maybe she'll stick around a bit longer, actually. 

(She does still want to canvas this place some more, but - honestly her confidence she'll find anything is fairly low, and she can always get their prisoners dropped off and then come back. Though she'll want to avoid alerting any enemies that she knows something important is here...)

She takes the after battle breathing space to ask for a full accounting of their strength and any damages they took. 

They brought 2 dreadnoughts and their full contingents of starfighters to the planet.  The dreadnoughts haven't taken any serious damage, but they've lost 2 full squadrons of starfighters, plus another 5 from all their other starfighters combined.

The reports of deaths are... Unpleasant.

This was always her least favorite part of war.

She turns her attention, now, to search and rescue of any survivors among the destroyed starfighters, getting medical response coordinated.

(She reaches out in the Force, in a broad, somewhat intense way she hasn't done since she was dumped unceremoniously in this body, to sort through the wreckage for signs of life.)

The force is full of movement as she reaches out into it.  Thousands of currents and eddies, pulling her, some gentle and others more forceful- one catches her up, as she looks for signs of life, and pulls her attention to one of the downed starfighters, a faint flicker of life echoing out into the force from it. 

This feels very strange. Different, at least a bit, from the way she's accustomed to using the Force - more insistent, more... Responsive, in an odd way, feeling like it's anticipating her - far more than how she would use it as a ghost, but even compared to the course of her life...

She directs rescue efforts towards the downed starfighter, dives farther - Anakin doesn't have time to analyze, but she's always been good at adapting on her feet. 

She doesn't intend to leave a single person to die who she can save. She tells the Force to direct her to the more urgent cases as a priority, passes forward her triage methods - weaves herself into the rescue efforts, she can heal the most severe, get wreckage open far more safely than basically anyone or anything else...

The force shows her the most urgently injured easily and quickly, but pulling apart the wreckage and healing them requires fine, detailed control- she doesn't mess up, badly, but there are many times when the force warns her that what she's doing will injure someone and she has to correct herself.  In the end, she's able to save roughly a third of the downed pilots.

She's used to healing being easy, something she sometimes has to restrain herself from doing automatically. It's working differently, here, enough to trip her up, enough to add to the background stress - she always corrects herself in time, isn't slowed down too much - but she hates the feeling of being slowed down at all. 

And this stupid body is having stupid emotions about that. 

Anakin regulates the body's breathing, minimizes the external irritants hitting the body's senses - turns off anything trying to make noise at the body, turns off any blinking lights, closes the body's eyes, adjusts the temperature, the body's posture - but the body still seems very determined to skirt the bottom edge of overstimulated and then to try to drag her over with it. 

She's saved a lot of people, though, despite that. She firms that in her mind, and catalogs some of the causes of stress wracking the body for later handling before gently nudging them aside. 

And at least the Force here is being - helpful, even if in a way she's not used to it being. 

She asks for another status report, this time on the situation back in medical. 

The situation in medical is good!  Everyone injured seems to be recovering alright, though with how many downed fighter pilots she was able to save they're starting to run low on beds.

A clone trooper steps up to her, after a moment.

"You look like you could use some rest, sir.  We're out off combat now, and everyone's doing alright in the medbay, you might want to sleep before you talk to the prisoner." He says, voice lowered.

...Yeah. She's - exhausted. Shaking.

She hasn't noticed. 

Anakin nods. "Thank you," she says, softly. "I am... Tired, I think."

...Where does she sleep on this ship. Can she fake brain fog enough to get someone to lead her. 

She closes her eyes and - lets the way she's burned through this body's mental reserves show. 

The trooper who pointed this out leads her to another clone, who he instructs to "Lead the General to his quarters".

"Thank you," she says, voice still worn, scanning for and committing to memory identifying signs on both - though she's hoping she'll get them to give her their names and not their numbers eventually. 

(...Assuming they haven't already given weird mirror her their names, which, might get awkward. She needs to figure out exactly when it is... A good use for alone time in her quarters.)

The trooper who escorted her walks away as soon as they're at her quarters, heading back the direction they came in.

The room is not quite like her own officers quarters, but there is a bed, and she is alone.  There is also a holopad available if she wants to start looking for information about when she is.