Simple fact of all this is, if you do want to be in a relationship with this woman you will need to cater to her jealously.
Is your girlfriend young? I have to admit when I have children and if I broke up with children father I wouldn't date a younger man. Younger people are less rational and understanding than older more mature people. I am young myself so can say this is true for a lot!
Actually thinking about it, maybe best you do end it? I have to agree with other posters, she will properly get worst and may resent your daughter. Some people can't handle being with someone who has children but I don't know if she's one of them...she's just against your ex but it could extend to your daughter so watch out for that...








