If a Barn Owl and a Red-headed Woodpecker were to fight which one would win and why?

When would they get in this fight? The Barn Owl sleeps in the day and is awake all night. The Red-headed Woodpecker is awake at day and sleeps at night. If they were to fight the beak of the woodpecker would be its main weapon. The barn owl would have its claws. The barn owl is also a bit bigger but not by much. My opinion would be the owl would win. Unless, of course the red-headed woodpecker has a temper. LOL