Well, since she was the one who suggested to break it off, and is more keen to 'experience things' rather than be in a relationship with you, I really don't think she loves you. You're obviously more into her than she is into you.
You don't need to cut her out of your life or anything. I mean, if you still have feelings for her when you meet her, and if she cares enough and loves you as you say, you will get back together. If you don't then, well, that would mean that you were never that close anyway and decided to move on.
I don't get what the problem is, apart from the fact that you miss her, which is bound to happen when you break up with someone.