Mostly, Kaworu had just wanted to break through the awkwardness of the entire situation. So when Paul doubles over, he blanches, reaching out to awkwardly rub the other boy's back in a soothing and apologetic manner, and wondering how to fix something that you don't know how you broke.

Then suddenly Paul grabs him and pulls him into an embrace. At first he wiggles around like a cat being picked up against its will before settling in to his grip after a kiss is placed on his forehead.

"You woke up before me!" Is the huffed reply. Then he glances over at Midoriya, a smile on his face. "Ah, is that his role now. Unwilling educator? I suppose a hero needs to do what he can, even if he doesn't want to."