I think you hit the nail on the head - she just wants some one-on-one time with Dad. Next step I think is to coach her on how to speak up with HIM on the matter. Some here might tell you that you should have that conversation with him, but I think it's better and carries more weight if SHE does. There's a book on divorce/custody, can't remember if it's Mom's House/Dad's House or Joint Custody with a Jerk which talks about the problem pyramid, idenfitying who is at the top of the problem pyramid (who HAS the problem) and who needs to address it with whom.

Glad to hear that all went well with the play. :)