If you don't get along with someone, then don't be their friend, pretty simple. Most of my friends are my husband's friends. We met in college and had a lot of mutual friends to begin with. We are together because of similar interests and hobbies, so we plan video and board game nights with all of our male and female and couple friends. It's easier to spend time together that way. Occasionally, we plan a "guys' and girls' night" and split up, but most often we end up back as a big group. I get along better with the guys than most of the girls anyway.
Sorry to hear you can't find some common grounds. Just politely let her know when they aren't around. "I have my friends, you have your friends. Friendship can't be forced. Let's both keep our sanity." *lol good luck
What's good for the goose is good for the gander. As a couple all friends are mutual friends, none excluded.