I can almost guarantee that if anyone ends up as a couple in here, it will get unreasonable complicated and be torn apart in a matter of weeks. This just isn't the profession to be getting into relationships. That, and I guess on this end, Elizabeth's instabilities would prevent her from being able to maintain a truly meaningful relationship. Or at least she definitely fears it would. So if anything, Beauty has the right idea, if she's going to do anything of the sort. Make it short, make it instanced, and don't put too much into it. Though she probably has her own deeper reasons for why she does what she does. That's just my evaluation.