I've been through this. People rarely encounter bears. They encounter men all the time. Of course there is more violence from men, but I would argue more surprise encounters with bears end badly than encounters with men. And rape is hardly the only violence that can befall a woman.
But why bother? All of us men are disgusting rapists, apparently. Guess I should be like Shrek and retire to my swamp if everyone will just be afraid of me. Too bad I don't actually have one.