Not sure how stable my relationship is with my gf

Its become apparent recently that given the opportunity my gf would cheat on me in a heartbeat if she met the right person or someone that peaked her interest. But she says she loves me wholeheartedly. Just really not sure how to take it and if she is actually happy with our relationship and where we are heading. I guess if she wanted to cheat she would have done it already but also says she doesnt trust herself if she was to find herself with an opportunity... What do you think?

In what way was it apparent? If she told you this, it could be her way of letting you know there are serious issues without actually listing the issues. I say this because I've actually had this talk with my husband when things I felt neglected and frozen out. I didn't stop loving him, but I said that to let him know that I felt trapped in a situation that I did not feel was meeting my needs. Hope this helps.