The Doctor looked at her "Didn't want to get sick while was in a car, but the movement wasn't helping." he coughed hard. He knew Rose would overreact and worry a lot if she saw him now.
"Ohh Rose would think I was dying probably, she has never seen me so sick." he walked slowly out of the car and to his TARDIS, unlocking the ship, his eyes closed a few times.
He really wanted to just be able to lay down again.

Once inside the Doctor went to the medbay to look for the right medicines, the TARDIS making strange sounds "Hey its ok, I'm alright." he was telling the ship. He stroked the walls and then grabs his medicine and a few things from the bedroom. His voice sounded hoarse. He really didn't sound very well.
He didn't come out of his room as he saw a picture of Rose in his room and he just began crying a little. He did miss her, but things changed and he knew he should try move on or he would be alone.