She's an idiot for jogging at midnight in Central Park. That doesn't excuse anything that happened, obviously, but her actions just immediately put me in mind of those "I have the right to feel safe" comments you usually hear coming out of these types' mouths.
When we were kids we hitch-hiked a lot. The world was different then. Well, maybe just a little. We took our chances and (mostly) got away with it.
When my younger sister got to be about fifteen or so she and a friend decided that it was OK for her, too. The bothers heard about it and raised the roof. She responded exactly as you describe, "You're not the boss of me (I swear to Gaia that those were her first words!) and I have the same rights as you".
Then a guy tried to assault her. We hunted him down and beat him to a pulp, then called the cops on him. She never put 2+2 together and never even thanked us. Fortunately I don't think she ever hitch-hiked again either.