First of all, I'm sorry you have to deal with that troublemaker and we're proud that you reported her. I'm sure it wasn't the first time she accused a passenger of misbehavior to save her own ass, she's certainly a bad apple but her behavior shouldn't be projected to other women.
Sometimes in life you have to deal with folks you dislike.
We don't always get to pick who is playing in the sandbox with us.
If we exclude women from entering gay bars with go-go dancers who's next?