I also don't think she's gay. But then again, her falling in love with anyone and how that would pan out would still be interesting to read.
I don't feel she was abused. But she might have had some form of psychosis. I can't justify it right now, this is purely gut instinct. Dalinar mentioned something about her 'lunacy' in one of his flashbacks. So, yeah. Not much to go on there.
But to the original question. Yes I like Jasnah. Probably my number three.