As caught up as the TARDIS is in her horror, she can't fail to notice the other mind entering, and that makes her come to her senses somewhat. She's still too dismayed by everything else to be upset specifically about the identity of the intruder, or care at all that he's here, and she makes another, a little more collected attempt at fleeing the dream.

When that fails, an almost inaudible wail of frustration rings through the room. Why can't she just leave, why is she forced to be confronted with this, to feel the Doctor's death in her walls and in the broken down heart of her console? Seeking any escape from this at all, she tries to go for a humanoid projection, and at least that works.

She appears by the door, the dream thankfully not messing with her usual physical form as well, though she can't make the effort not to make it look as drawn and harrowed as she feels. Though now she probably does have to acknowledge Peter, so she gives him a look that's too weary to be effectively condescending.