She's gonna
survive (as much as a living corpse would). Frankly, this whole "you-have-to-screw-Karen-to-make-her-pass-on-with-no-regrets" thing seems to be a contrivance of Greenhair's. He DEFINITELY seems to have an angle, and I don't see why Nakamichi is still interacting with that bastard.
That said, I'm willing to bet that Karen can persist in some way; to begin with, Karen has never taken energy from Nakamichi the way that shorthaired annoyance (that ugly face she showed in the other chapter is her true face, to me) did--and that annoyance persists to this day unhindered, with no signs of weakening or diminution. She's also able to possess human bodies with no problem, as well.
We'll see what happens, then.