MAX: I don’t know if you’ve realised, but every gift so far has been for you.
LORELAI: Yes, well, in this town, I am the queen. You are simply my jester.
MAX: A position I happily accept.
For reasons which are not made entirely clear, Lorelai Gilmore is the queen bee of Stars Hollow, and has an almost celebrity status in the town. You can see that all the gifts are extremely girly, such as a matching Hello Kitty waffle iron, toaster, kettle, and lamp, floral chinaware, and lavender lamps. They are the kind of gifts you might give a young girl, rather than a mature woman who is already a mother, and about to be married. Max is almost superfluous at his own engagement party.
Lorelai does not say that Max will be her king, or stand beside her as her equal. She is making it clear that she is the boss in this relationship, and that Max is just there for her amusement. It doesn’t sound like a good basis for a marriage, and for Max to “happily accept” it is a warning that he’s either delusional or doesn’t take her seriously. Big mistake.