Probably not, but I have no way of truly knowing until I am actually in that situation. I do, however, have a similar psychology and list of mental disorders as some pretty gruesome murder/rapists. Not saying I'm just like them, but there is a world where I didn't manage my own mental health and became more like them.
I also get the sense I'm not as upset with IRL gore as some of the others in this thread. I've seen a handful of cadavers in my life so far, and none of them particularly disturbed me. There was even one time I had a hard time keeping a smile of my face while looking at one of them. The smell and the mess don't bother me. In fact, I kinda wish I had a chance to poke around and play with their exposed organs.
Even if I was more psycho I don't think I would kill this hypothetical woman simply because I find sexual gratification fleeting and meaningless.

On a side note of IRL guro, I have considered buying an anticoagulant and using my own blood as lube.