I'm guessing that at least part of the reason your DH finds her so exhausting is because he's spending much of that time doing activities he does not enjoy. Dress-up? Tea parties? Dolls? *gag*
Playtime Rule Number One: Daddy doesn't do dolls.
Yesterday, when I spent time with my DD8, we played computer games, goofed around with the guitar, played with the dog, assembled a puzzle, hit some whiffle balls, played tickle football, and then chatted extensively before bedtime. Not coincidentally, those are all activities I enjoy.
Well, we DID play cooking show, but it was only for 20 minutes.
My recommendation would be to encourage your DH to forge his own relationship with your DD. Expose her to things that he enjoys, and see what sticks. Also, encourage your DH to experience some of the things your DD already enjoys, to see what might stick with him.
