That's not quite how I took the scene. I always thought she threw him out because he put her in her place.
The Doctor: I just want you to know, there are worlds out there. Safe in the sky because of her. That there are people living in the light, and singing songs of Donna Noble. A thousand, million light years away. They will never forget her, while she can never remember. But for one moment, one shining moment, she was the most important woman in the whole wide universe.
Sylvia: She still is. She's my daughter.
The Doctor: Then maybe you should tell her that once in a while.
After that she glares at him coldly and, once Donna pops in, says The Doctor was just leaving.