I think if you love her very much and she won't marry, then choose to trust her and tell her how you feel and the importance of rebuilding loyalty and trust.
If you don't love her very much, This kind of behavior should be equivalent to cheating, which is hard to believe. She may change in the future, but you will also be suspicious because of some accidental misunderstandings. At that time, only you will suffer, and so will she. So it's better to separate.