Perhaps put out some kind of a feeler? such as, "I really need you to inform your dates about me. Otherwise I feel like we're not being honest." That's a pretty basic thing, so find out how she reacts to it. Maybe she will be the one to call it quits (although who knows, she maybe still needs you for the place to stay). But just make a request of her, something that you need, and find out what the response is. Decide for yourself if that's a response you can live with.
I can't tell yet if she's just a user, or if she has some unrealistic ideas about what freedom should look like. Personally, I feel that freedom comes with responsibility.
Love means never having to say, "Put down that meat cleaver!"