CAROL: So, tell me something, Harvard hair – how bad do you wanna please your parents?
RORY: My mom, and really bad, but it’s not hard to please my mom. She’s okay with anything I do. As long as I’m happy, she’s good.
Not really true – there’s plenty of times Lorelai hasn’t been okay with what Rory wants to do. She didn’t permit Rory to give up Chilton after she met Dean, she was furious when Rory told Emily about their financial problems, and she doesn’t approve of Rory’s attraction to Jess. In the future, Rory will discover that when it comes to her university education, Lorelai will not be “okay” with all of Rory’s decisions, and that Rory just being “happy” is not enough to satisfy her.
More accurately, Lorelai and Rory have plenty of fights and disagreements, some more serious than others, but they always find a way to resolve things, eventually.
Note that Rory repudiates Christopher as her father here – she is quick to say she only has one parent, her mother. She is seriously angry with him for what he did to Lorelai, and to her, and it is a rift which is never really healed. Rory will never go back to being the young girl who yearns for her father and gets excited at the thought of him making one of his all too rare visits.