The Doctor wasn't too concerned by the fact he was cold. He just thought it was perhaps a cold day, or that his body was in shock from everything that happened. He lay there and nodded, He was glad for the blanket and lay there looking rather worn out.
"Yeah is good, sure I'll feel better soon." He knew that it was rather horrible to lay there feeling miserable. He hoped that it would all go away soon. He just wanted to go back to being his normal self, what ever that was.

He briefly caught sight of what was showing on the TV. It sparked his interest for some reason. But his head hurt too much to focus on it. He didn't know why such a thing would catch his attention. "Mmm today I think, I mean I don't know how long I was passed out, Can't have been long though." He seemed to have a feeling it hadn't been that long. But he yawned. He didn't seem to want to talk much. He wanted to rest. 
He curled up in the blanket and mumbled to himself. He was starting to dose off. He hadn't really heard the rest of what she was saying. He didn't even know he wasn't human at this point. The tired time lord was soon asleep.

When he awoke later on he was looking around. He had woken a few of the times she had come to check on him. BUt he had mostly refused to wake due to exhaustion. He felt a little better for having got some sleep.
While he was asleep he had dreamed of his home planet. It seemed to have been some memory that had sparked "Gallifrey." He mumbled. He was trying to make sure that hadn't just been some crazy dream.