I thought about this too. I have told my daughter since before she could talk that all I want for her is to be happy, healthy, and safe. If being a prostitute makes her happy, assuming she takes steps to be stay healthy and safe, I like to think I would support her. Would I like it? Probably not. But there's plenty of things I don't like people doing. There's a bunch of things I wouldn't like my daughter doing especially, many of which @PureX would probably be appalled by my dislike of. I'm grown up enough to realise that my personal distaste for someone else's choices is a really bad basis for legislation or proscription.
I would dislike my daughter becoming a preacher much more than I would dislike her becoming a prostitute.