RORY: You were saying that I’m stubborn just like my mother.
DEAN: I was saying that in addition to all of the wonderful amazing qualities that the two of you share there is possibly, on occasion, a similar tendency to dig your heels in.
Rory isn’t that stubborn, being keen to please others as much as possible. If Lorelai and Rory were both equally stubborn, they would fight much more than they do. It’s worrying that Dean considers a meek girl like Rory to be “stubborn” – just how much of a doormat does he actually want?
The Annotated Gilmore Girls 