(The droid specially constructed and programmed by one Darth Chataris to ensure continuity of operations does, of course.  She is the one to whom the escalations reach, not the one who escalates.)

The moment he exits his ship, several droid chassis that would not look out of place at any old landing pad approach the vehicle, going through the routine of seeming to be convenient hosts.  (A grounded ship is a ship that can do much less damage if it is hostile.  And they don't want to shoot a hostile down into something else that's important, like civilians, not when there are better alternatives.)

That these droids do not look out of place is the one normal thing about them.

The environment he arrives to has exactly zero visible biological lifeforms, blast shields over everything firmly shut, and one mouse droid with a holoprojector.

"Master K'rin," says the site manager, on one side of the projection.  They're wearing a strange sort of headgear that looks neurological.  "I thought you had been informed that Threshold Corporation was profoundly unwilling to cede our specialized containment programs to the Jedi Order.  You are not authorized to be here.  Please leave."

The...  Protocol droid?  It's humanoid, but not built to the standard model; it seems to have felinoid ears, and an articulated tail - on the other side of the holoprojector shakes her head.  "I have said it half a dozen times and I shall say it again; we are authorized to operate these artifact vaults, and we are confident in our security measures.  Please cease and desist; you are trespassing, and security protocol for Class-2 artifact vaults authorizes lethal force on forced entry.  You are annoying, but I do not want you dead."

"Ah, at last, a person. I will require access to your vaults. The Jedi Order is far better equipped to contain these artifacts," K'rin declares, waving his hand to press his will upon the site manager over the holocomm.

Master K'rin is in substantially more danger than he was a second ago.

[CALL DISCONNECTED]

"Cease and desist from attempting mental assault upon our staff, Master K'rin, or leave this facility in pieces, rather than in peace.  This is your final warning."

He sputters angrily.

"I am Jedi Master K'rin of the Jedi Order, droid! The Order has a mandate to preserve and secure Sith artifacts, and I will not be blocked from my duty by a bucket of bolts!"

"You are incapable of safely containing much of our special collection, and you, specifically, have proven to have sufficient disrespect for our biological employees' mental autonomy that you are now no longer authorized to speak to them directly.

"The Jedi Order does not have the authority to do whatever they want to whosoever they please.  I am quite certain that the legalities I informed you of in my first, fourth, and seventeeth replies to your messages still hold, and that therefore Threshold is a treaty-protected entity under Republic law.  Now remove yourself from this private property."

I have a name, you know, I signed it to my messages, she does not say, because it would not change his mind.

I will not be responsible for permitting, for all I know, what could be the next Skere Kaan to waltz out of this building with hundreds of meaningfully dangerous artifacts, to say nothing of their historical value, she does not say, because that would only bring more rage to the fore and she is trying to avoid killing him.

I was entrusted the safekeeping of these artifacts by the architect of these vaults, who was and is better than you, she does not say, because of much the same reason.

If you're so intent on testing our security, I'll need a liability waiver, she does not say, because she will not give him the satisfaction of having been invited.

You are speaking to the highest available authority over Threshold, with our CEO unavailable for meetings for the next nine-hundred and fifty-three years, she does not say, because that did not work the first time.

[S1-LV4], kneecaps, she does not say, because if he tries something she will not need to, and if he turns back now she shouldn't have tried.

Do you really want to try and breach the security of vaults that drove away power-hungry Sith for decades because you're more self-righteous than they were, she doesn't say, because generally Jedi do not like to be told they are worse at things than Sith are.

...She'll keep that one in reserve, actually.  [S1-LV4] might like it.