It's only a game, Skyrim will be there when you get back.
If the six and relationship is good, screw Skyrim for a week. She is more important then the game right now. You have your whole life to play it FFS!!
Or just the relationship. six isn't really a big deal unless you want a child of your blood. A human friend is more important than any game, with or without six. If six is the only thing good about the relationship, then you should dump her and play Skyrim and get a Hentai game, those get you six too.
Sorry for this comment but it bugs me to see six be a must for a good relationship, Platonic Relationships are just as important than sixual ones.