“ah, hello!” they tip their hat in greeting, then decide it might possibly be seen as rude to wear it in the other’s residence, so keep it off anyway. assuming, of course, that this is the other’s residence, and they simply haven’t wandered into this wonderful curious place, whether on accident or on purpose. that would just be rude as well.
the doctor decides, for now, to ignore the fact that their appearance in this place is entirely accidental too. perhaps the young-looking person facing them now will not quite catch on to that point if they simply act without acknowledging it. “this is a remarkable place,” the time lord continues, undaunted by the niceties of when one should or shouldn’t enter other people’s homes. “astonishing, really! particularly for this time. i don’t believe a transport system like it has ever been conceived before now. tell me—if you don’t mind my asking, of course—what sort of fuel does it run on? how do you keep it going?” they have, by now, crossed the room and come to stand right next to the stranger, craning their neck up so their eyes might meet the other’s without impediment by the mass of curls atop their head.