Is carrying pepper spray in an accessible location prejudice? Is declining invitations from acquaintances because I don’t want to be alone with them before I know them better prejudiced?

I already answered this, caution is not prejudice, but being cautious towards a specific demographic is prejudice. I’m not interested in hearing your prejudiced rationales, I’ve heard many over the years and they’re largely the same.

I have much more to fear from a random man than a random woman, statistically

Yes, as said, statistics are not an excuse to be prejudiced. You cannot treat someone differently because of the group they were born as, that is prejudice. Go ahead and carry pepper spray, because anyone can attack you, but your trauma is leading you to rationalize prejudice and that is absolutely not acceptable in a tolerant society.

You keep making strawmen arguments because you cannot accept that someone is simply anti-prejudice.