She has a desire to see and know her own father, Peter Alan Tyler, not reinvent him in someone else.

Thank you. It's always seemed to be to be a very facile reading of the text- this idea that Rose lost her father, the Doctor is far older than her, and therefore, he is a father figure to her. What about how they actually behave towards one another? Their relationship has a significant sexual aspect almost from the moment they meet. She doesn't want him to take care of her or solve her problems. If he fits into any stereotypical role with her, it's initially a classic romantic one-he's the dashing man of mystery who sweeps her away from her mundane life. Now, as she said, he's so much more than that. But that's definitely one way it began.