Oh honey...
Having just gotten married last September, I understand.
My dad has very severe arthritis and I was worried about missing the same moment. In the end? I was honest with him and he was honest with me. We kept it to a short song and he ducked out of the reception for a small break of about 30 minutes before the dance so he could relax a bit.
Get creative! Make a Plan A, B and C -- so you have a special moment with your dad no matter what happens!!!
Thoughts are with you...