When I first met the Doctor, a long, long time ago, he knew all about me. Think about that. An impressionable young girl, and suddenly this man just drops out of the sky in a big blue box, and he's clever, and mad, and wonderful, and knows every last thing about her. Imagine what that does to a girl.
Creepy, sounds like a stalker or a groomer. And thus look what utterly immoral and depraved muck--insanity!--this franchise has dropped down into. A match to the creepiness of the quote.