@guiltornot,
Really? Your daughter is not well - this trumps a birthday for an old guy (I am assuming you are all older if your daughter lives out of state from you she must be a young adult).
You can celebrate with him the week after. He is a grown man and should understand that the health of your daughter and thus the emotional support she would get from you as a result should be above a birthday.
Personally I would skip the weekend with him entirely - make sure she is good and reschedule. To be honest you both would have a better time if you did this as then your attention could be focused completely on him. If you were to cut the weekend short with your daughter, you likely would be thinking of her while out with him.
He is a grown man - and should understand this - if he doesn't personally I would not want to be with him - only someone pretty selfish would be upset that you postpone being with your child (even grown) when she is not feeling well.