The Doctor raised an eyebrow when she didn't question him as if that was really his name or didn't say Doctor who.? He lay there curled up in his blankets.
"Mmmm no, must have caught it off somebody or not got enough sleep." he replied. "No so sure," He was coughing.
He wondered why she was asking about his illness. Though he supposed knowing more would aid his recovery. 

The Doctor realized there wasn't all that much for him to talk about when he didn't know her well yet. He also didn't seem to think that he was well enough to talk about anything too complex. The Doctor also wasn't sure he should tell her what he was just yet.
He coughed more, his throat was hurting him quite a bit. He looked for a glass of water and sipped it slowly, he didn't want to throw up more.