Much as I hate to say it, you should seriously consider putting her down. I had a dog in that situation; constantly pacing the room whining, jumping and frantically looking for hiding places at the slightest disturbance. You could see in her eyes she was miserable, no amount of comforting helped. We didn't dare leave her alone in the house. I waited too long; she eventually seriously injured herself frantically clawing her way under a power recliner, and afterward was in such pain we finally had no choice. Your cat is clearly similarly miserable; don't wait too long to give her peace.

>You can’t just yell “Hyperspeed, Chewie!” and travel through large distances instantaneously, because it’s just not possible.

Says who? I know, I know, Einstein. But do keep in mind that we're a long way from completely understanding the universe. Relativity came about because there were edge cases that Newtonian mechanics couldn't explain. Einstein has held up very well over the years, but quantum mechanics is now explaining edge cases that relativity can't...including phenomena that appear to propagate WAY faster than light. So maybe the "cosmic speed limit" is one of those edge cases that QM or some as-yet-undiscovered theory will show to be incorrect. Or, if Einstein can't be defied, maybe he can be evaded (see: hyperspace.)

TL;DR: "It's just not possible"...according to what we know, but we don't know everything. Yet.