YIKES!!!! Don't you dare give her that letter!!! Write it and burn it.
You are in divorce and need to be extremely careful about anything you write and give to her. Anything written that you give to her always has the possibility of being used against you in court. Anything written should be emotionless, factual, pleasant and friendly. No relationship stuff!!!!
Also, always avoid anything that seems like pursuit. You should never call her first. Let her contact you and then just be friendly. You can ask "friend-like" how she's doing and say, "I hope you are doing good. I wish you the very best." Nothing that sounds more than friendship, nothing that sounds like you want to create a relationship. Also, use light humor whenever possible.
It's only if she seems interested in talking with you that you would share further thoughts.
There is no arriving, ever. It is all a continual becoming.
