M.C.
I would suggest finding a class of some sort that the two of them can enjoy together. Maybe something thru the park district? My husband travels a lot, and while my daughter is a total daddy's girl, it is really nice for them to have their own special time together without me in the picture. Right now they are in a Saturday morning parent/child art class and love it. The session ends in a few weeks, and they've decided the next class will be a sports related one.
In my opinion, your husband and daughter need to figure things out together, without your intervention. Your intentions may be good, but the interference may be adding to the stress level. An hour alone together is a class setting, where they have to work together on projects will give them the opportunity to do it.
Good luck!