I see things!/I see them with my EYES!/I see things!/They're often in disguise!
The TARDIS, in her strange, unfamiliar way, has a Plan. She considers it a very good plan.
She's in disguise as a standing shower unit, lurking inside the Doctor's own shower. She knows it's his. She can {smell} the psychic imprint. And even though Time here is hard and solid like matter, and she can't see through it nearly so well as she's used to, she can at least extrapolate against the past/the mindfeel of the Doctor/cross-universal similarities with her own Doctor/the sum of linearly-accessible locations in this contained system for an entity with his capacity of motion.
The long and short of it is, she's sure he'll come back to his room sometime. And when he does...
Well. She's a TARDIS. She's very good at waiting for the Doctor to come back.
She's in disguise as a standing shower unit, lurking inside the Doctor's own shower. She knows it's his. She can {smell} the psychic imprint. And even though Time here is hard and solid like matter, and she can't see through it nearly so well as she's used to, she can at least extrapolate against the past/the mindfeel of the Doctor/cross-universal similarities with her own Doctor/the sum of linearly-accessible locations in this contained system for an entity with his capacity of motion.
The long and short of it is, she's sure he'll come back to his room sometime. And when he does...
Well. She's a TARDIS. She's very good at waiting for the Doctor to come back.