The TARDIS's actual travel circuits were not damaged--a fact which made the Doctor a very happy timelord indeed. She could move just fine from point A to point B, but both of those points had to exist on a straight line. She still de-materialized, she still made her noises, and she still flew.
Because the Doctor knew a good sum of the people in attendance at this meeting, and because he'd rather pre-empt many questions about who he was and what he may know and if he could be trusted, the Doctor decided to fly her to the meeting.
He also decided to give Cavan a ride.
This had taken a Herculean amount of conversing and ridiculous promises not to probe the boy in any way, or trap him, or take blood samples or hair or spit or anything of the sort. It had taken a lot of coaxing and at one point a few jammy dodgers and a glass of milk. But mostly, Cavan had seen the reason in it: if he were to arrive with a human companion, one that others had met, he could surely be trusted.
Even as an alien.
Once inside the TARDIS, Cavan had done fairly alright--better than the Doctor anticipated. He'd been captivated by the control centre, by all the gadgets and the Doctor's explanations of what they did, and how they worked. He'd been allowed to push some buttons, and that made him happy. The Doctor had given him leave to explore the entire ship, which was, after all, bigger on the inside.
The problem came when Cavan reached the library. The Doctor had forgotten how protective the TARDIS was of the library. How protective he'd told her to be of it.
Therefore, when the boy had set just one foot inside, the TARDIS slammed the door in his face. She projected a warning just to the left of him in the form of Rose Tyler, who spoke in a monotone.
"You are not authorized to visit the library," the TARDIS said. "Please return to the Control Room at once." She said it over and over, until he did. The TARDIS had chosen Rose out of all of her memories of those who'd travelled with her as the one Cavan could most relate to, not wishing to upset him. When it was clear she had, she kept talking. "I am a Voice Interface. I am the TARDIS."
He'd heard that bit, and happily, a very freaked out Cavan had come back to the control room just a hair after. And then the Doctor had taken off, and off they went.
He landed now just outside the house where the meeting was taking place--so close, in fact, that the TARDIS was almost touching a window pane, and all inside of the living room could certainly see it and hear it .
The Doctor grinned, and then opened the door, and left to enter the house.
"Right, then, Cavan Darling!" He rapped on the front door of the house. "Off we go!"