Wanting her to go to another shop is not a bad thing at all. It's completely understandable. I think though that if you won't be able to trust her out with friends and shit, then you won't really be able to forgive her. If you can't truly forgive her, then the relationship will not thrive. It's not fair to either one of you to carry on if you wont be able to get over it.

This is me speaking from experience. I was cheated on ... Stayed with him for 6 months after, but in the end I just couldn't get over it. I brought it up in fights and shit and that's not fair. You either get over it and move on, or just... End it.