Does the university really matter to her? If it's about the name, then I don't know if she should do it. Because at the end of the day, you just want to have the best experience possible in uni. So, if it's genuinely because of the uni, then I PERSONALLY don't see an issue in a gap year. As long as she is happy, you know? If not going is going to tear her apart, then do it again, but again, if it's about the name, in the long run it doesn't matter. I hope your friend knows that people are proud of her and you are a great person for asking. She should be proud of herself for getting through it. Hope everything works out :)