Baby mama drama

My spouse has an ex and they have a 2 year old daughter. She was throwing herself at him non stop in the beginning although she had a bf of her own. And my SO wouldn't give it the time of day unless it was about their daughter. However she still throws stuff in his face about their "family" and how she misses him and sends him old photos every single day. He gets frustrated that I take it out him because it isn't his fault, he told her she needed to stop so we willlllllll see how long it lasts but how do I handle the fact she will always be there begging for him. She doesn't respect our relationship at all. I trust him but I DO NOT trust her....