This is an interesting position to be in, I am in the same boat. My STBX wanted the D and she still wants to be friends with me as well. I have decided that I could care less either way. She is only wanting to be friends with you so she can come back if something doesn't work out with a new guy or whatever she is doing.

She wants to make sure that she feels better about what she has done.

I have not spoken to my STBX in a aweek and and she keeps calling either once a aweek or twice aweek.

I know for me, it hurt me more. Cause my STBX thought that she could tell me anything and I would be cool with it as friends, so she told me about her new boyfriend and how he is so different from me and that she loves him and that they have sex. So if you can handle hearing all that, then go for it, if not, than I would just not talk to her as you have no kids, and it was the same with me, We have no kids either, I just let her go.