Cannot find Manga about a girl living in "old" time with dukes, barons etc. she has notorious reputation of a girl who sleeps around but she is actually smart and I think can wield a sword. She gets married off to a guy who is on frontlines and doesn't even want to meet her and they don't see each other for years before he comes back and she demands a divorce. They sleep together as he thinks badly of her. Then realises it's her first time and starts a deal with her that they sleep for a month and if she doesn't get pregnant, he will divorce her