Her hidden face has him curious of course and he immediately looks at her like he's trying to see past all that fabric. She might have her reasons, he notes, if she's his own "space lady" of sorts (he had been calling the women Rei remembered "space ladies" and surprise, surprise, they had come for her) then there were endless possible reasons why she's secretive about her appearance. The Doctor being The Doctor though, he can't help himself. He wants to know and learn about it all.

"Vastra, I presume. I was told you're a friend from my 'real life.' You know who I am... Are you something other than human, like me?" He waves his hands, "An alien?" He holds up a finger, "Wait. Re-introductions first! Hello. I'm "Doctor" or "Ruairidh Smith" and I don't remember my proper name yet, I apologize. I also apologize for any important missing memories that make me difficult for the time being. But it's nice to meet you again Vastra."

It seems The Doctor has taken on a name pronounced hilariously similar to Rory.

"And thank you for coming all this way to find me. I remember faces, some names, of people I care about but... I didn't dare to get my hopes up that any of them would find me."