If she took it to court, here's what would happen: the company's lawyers would go through all her online communications, track down all her exes, and find anything at all to do with sex or relationships, with the intention of finding something to paint her as an untrustworthy slut. Court cases are public, and a court case against Uber would have significant media interest, so some significant amount of people would hear about this and believe them - to the point of harassing her online. Once the court case is over, she'd have significant trouble finding work, since she's proven herself willing to stand up against her employer.
Alternatively, she could move on with her life and write a blog post about it which'll be forgotten in a few months. Companies are willing to give a little more leeway when all that falls out of it is needing to write up some PR, and you don't get your irrelevant dirty laundry dragged up in public. I know which one I'd do.