I've never played the game rejecting everything, so I couldn't say. I have a playthrough where she significantly limits who she has sex with, in case that's a requirement to eventually play Andrew's renaissance route, should that ever come to pass. The game isn't really supposed to be played that way. You may be able to do it, but I don't understand why anyone would want to do it? If that's the kind of game someone wants, then why choose to play one that's the total opposite of a vanilla love route? There are plenty of other games on this site, that are much more in tune with that.
For me the main problem with Andrew and Anna, is she's grown up and he hasn't. When they were younger, he helped her cope with having an alcoholic father. So it's not like they never had a reason to be together. It's just that she's outgrown him, and she needs someone who's more mature.