[amIblue?]

I don't mean this exactly in the way that it's going to come across in text, but every time I see the title of this thread, here's what I think: "Don't know; don't care."

This is something your daughter is going to have to figure out for herself. If there's a reputation issue, she's going to have to consider if that's something that she is interested in correcting and make the on campus connections that will help her to get a bid. She certainly won't ever get a bid if she stops trying, but she's going to have to be honest with herself and figure out what she wants, what's keeping her from getting it (I agree with BlueCarnation that one night visiting a platonic friend at a fraternity house is not the entirety of the problem), and then asking advice for herself on how to fix it.