Having been the WAS, the only thing i would see as having been "the wrong thing to do" would have been that last comment. But i think if you felt it it was ok to go ahead and give her that hug. She didn't push you away, but from what you have been saying has been going on, that hug was probably a very welcomed hug.
But no she won't hug back too tightly yet because that would mean she was giving in so to speak. I can comletely understand her not wanting to give in completely just yet. It will be awhile just be patient.
Continue to go out and do things with other couples and with the kids as a family. It will help to remind her of all the good there is between the two of you.
Hang in there!
Life is not measured by the number of breaths we take,rather by the moments that take our breath away. M38,H40 M14 K D11 S8 D - June 09