I keep seeing people say she wants to be with the kid but being a stan isn't inherently a sexual/romantic nature. If anything it seems to be more of a platonic feeling of wanting to know the ML of the novel.
It's creepy that she was stalking him but in her mind she probably still thinks of the kid as a character and the setting as a mere novel rather than seeing him as a person of his own outside the story. Still creepy tho.