There is no rush to D. Stay separated. Date her - if you want to. Take only teeny, tiny baby steps. She needs to prove to you beyond any reasonable doubt that she is honest, forthcoming and trustworthy. As for you, you may need to prove to her that you can be attentive and meet her needs as well.
This will take time, and rushing it may well doom it.
If you want to explore it, go ahead. But do it at a snail's pace.
The trouble with having an open mind is that people put things in it.
My sitch - Divorce Busted! http://www.divorcebusting.com/forums/ubbthreads.php?ubb=showflat&Number=1804137#Post1804137
