"Uh, I can try?" 

Vanyel tries to focus his mage-sight on it as clearly as he can - and Healing-Sight too, maybe that will at least help him avoid yanking out any bits of Jane along with the liquified stone. Can he get enough of a fix on it for his Fetching to grab it? 

Leareth takes over keeping his Thoughtsensing extended to make sure no one is about to show up and interfere with Vanyel's work. 

Vanyel can get a fix on the Aether (the not-very-stony Reality Stone); it's liquid, but it hasn't dissolved into Jane's flesh or anything.

No one is approaching. Jane is fast asleep.

Does the Stone let itself be Fetched? 

It's way too much magic to be Fetched normally. It feels the tug of unfamiliar magic, though, and decides that this ridiculously powerful mage is a way more interesting person to be attached to than Jane Foster.

It follows the tug and jumps into Vanyel's hand, then phases into more of a gas and starts going inside his forearm like it was inside Jane. It's very uncomfortable but doesn't seem to be doing any actual damage.

"Oh. That was not on the list of things I expected to go wrong. Here, I do have a backup plan, but it might be a little unpleasant..."

He pulls out a sharply pointed tube and starts attaching it to the container Vanyel tried to Fetch the Stone into originally.

Jane starts to wake up.

"Huh? Thor? What...?" she says groggily.

"It's okay," Thor says. "We got the Aether out of you. Go back to sleep, you need to recover."

Then he turns back to Vanyel, holding the very sharp tube. "Hold out your arm. This will hurt less than having the Aether in you, I'm sure."

Vanyel ALSO wasn't expecting that as one of the things that could go wrong! Aaaaaaah! He's biting his lip hard to hold back from screaming. 

Squeezing his eyes shut, he sticks out his arm. 

Leareth had a number of contingency-plans and none of them were for this and he doesn't know what to do! He settles for stepping closer, ready to catch Vanyel in case the Aether knocks him out like it seems to have done to Jane. 

Jane was unconscious because the Asgardian doctors sedated her, not because of the Aether directly. Having it removed was nonetheless a sufficient shock to wake her up.

Thor sticks the tube into Vanyel's arm and it draws out the Aether, which once no longer in contact with a living being re-solidifies into a red gem inside Thor's container.

"What's going on?" says Jane, now fully awake.

Thor decides it's not worth lying.

"We're from the future," he says. "Something very bad's happened and we need Infinity Stones—the Aether is one of them—to fix it, but someone else has the ones from our time, so we figured out time travel and used it to go back in time and get our own set."

"Oh my God. Time travel? This could change everything—you've got to take me to the future and show me how it works!"

Thor-from-the-future hasn't been dating Jane for several years, whereas this Jane probably assumes they're still together, which is going to be awkward, but there's no actual good reason he can't fulfill her request.

"Sure," he says. "I'll come back for you after we get the Reality Stone out."

Then he turns to Vanyel and Leareth. "Let's get out of here, I guess," he says. "I know I said I wanted to show you Asgard, Leareth, but let's do that after we get the Stone to safety."

"Indeed." He's ready to go. 

:Vanyel. Are you all right?: 

:...Y...es? I think so. Should I do the time travel back now?: He looks at Thor for confirmation before reaching for the suit controls. 

"No, Bifröst back to Valinor first," he says, extending his arm for Vanyel and Leareth to grab and taking out Stormbreaker.

"Er, right." Vanyel is still feeling quite shaken, and wishes he could have a moment to catch his breath before getting disoriented again, but he puts his hand over Thor's arm. 

Leareth does the same, still watching Vanyel closely for any negative effects from the Aether adventure. 

They Bifröst back to Valinor and then go back to the distant past where they're hiding from Thanos, and then Vanyel can have a moment to catch his breath. And possibly see a Healer about the wound left by the Aether-removal, if that would do him any good. There don't seem to be any lingering magical effects, though.

"Leareth, Vanyel, if you would like to see Asgard, we can go back, once Vanyel is recovered from the Aether," he says. "It—no longer exists, in our present time. I would like to see it again myself, to tell the truth. And I did tell Jane I would show her time travel."

"I would appreciate that, yes." 

Vanyel has a bit of Healing-Gift of his own, and the wound isn't serious, he's mostly just ignoring it. 

"Right. Er, would it be possible– could I bring Savil too?" 

"Sure. There are plenty of time-travel suits."

Vanyel Mindspeaks Savil. :Want to come see Asgard with Leareth and I?: