[Oh, she forgot that this happens regularly when talking about the Doctor. She chuckles a bit, and shakes her head. But since he's offering a hand, she just casually slides hers in his and gives it a good shake to show she's alright.]

Rose Tyler, no medbay needed. [She turns it around into an introduction, which gives her time to try and figure out how to explain the Doctor thing.]

I'm just...I'm looking for someone. The Doctor, not a doctor? Thought he might have shown up here with me, but I dunno 'bout that, not anymore.