If this isn't forcing one's beliefs, then I don't know what is. Will you at least be allowed to eat meat when she's not with you?

This, for sure. Next thing you know it'll be, "I won't make you throw away that shirt, but you can't keep it in the house or wear it when I can see you," or, "I won't tell you what you can or can't watch on TV, but I will tell you what you can or can't watch on
our TV..."
Bad way to start a relationship. If you can't coexist then you can't coexist.