I don't go on social media so I don't really get it but I have seen memes here and there of women getting mauled by bears presented in a "heh, serves her right" kind of way.
So weird that dudes complain that they can't get women when the message they put out there is they hate women and make images of them being brutally mauled. 
EDIT: I did not expect to see people I trust minimise SA here. I'm disappointed, that's something I expect from a random chud blowing in from another instance, not you guys. Most of you were extremely cool in your answers, but to the one or two that weren't. Do fucking better.
My S.O. posited this question to me and I choose the bear also and am surprised people here are pushing back against it.
Granted: if I'm lost in the woods I might have a different answer but assuming I know where I am and I stumble on a bear it's incredibly statistically likely the bear is just minding its own business and isn't gonna get involved in my business and I can probably scare it off if it starts to approach me easily enough.
If I encounter a strange person I'm immediately wondering what their reasons for being there even are. Sure: they might be the same as mine....but maybe they aren't. Impossible to say for sure. The bear is a known quantity. It's supposed to be there. I and the other person in the woods, generally speaking, aren't.
It really depends A LOT on the type of bear. The black bears of the northeast are basically Saint Bernard sized raccoons. They will almost always run from you unless they are really in ecstasy over a dumpster or something. They live concentrated around state parks like seagulls on boardwalks, even though the are periodically moved. They used to come scratch their backs on the side of our house, and I saw them hiking a handful of times.
I think one thing with this question is that it's framed in multiple different ways, and also kinda ambiguous. Like, when I first heard in the woods, the first thing I imagined was hiking on a trail, since that's the reason I would most likely be in the woods. Seeing other people on the trail is just part of it that doesn't even register. But I would certainly be on edge if I saw a bear on the trail. But being "stuck" or "lost" like I heard does change context.
Right? This is the most basic construction of "women feel unsafe around men". I'm surprised by some of the responses here, like "what kind of bear is it?". I would think from the context it would be clear that the bear is a symbolic large dangerous animal to highlight women's jusifiable fears of being alone with men.