Search Results: best way to break up

Let me preface this by saying my involvement in the dating scene is brief and infrequent, so maybe I believe something to be more common than what's real.

Months ago I came into contact with an amazing girl for a brief 2 months. We liked each other a lot. Endless communication between the two of us, endless admiration and attraction for one another, and endless laughs. However, I learned she didn't want to have kids but it's always been my dream to have some. I reasoned with her that there was someone out there for the two of us that'd be perfect, she agreed and we broke it off. Of course it wasn't that fast, (important) it was very tough for both of us to end communication after that convo, but she ultimately ripped the band-aid off and we wished each other a very warm and complement filled fair well and best of luck in life.

Recently I came across her profile on an old site which I haven't used in forever. I still like her a lot. I see she's liked me, but am not sure from when. I'm afraid that my reaching out and wishing her the best could re-kindle a flame that could hurt her, because she and I know we want two different and very important things to us. There is more to the "not wanting a kid", and I won't say more. Just understand no means no in her case.

What should I do? What's the best thing for her? Is it ok to match and wish her well or should I let things be the way they are?