RORY: If you tell Miss Patty, everybody in town is gonna know.
LORELAI: Honey, people have their own lives and their own problems. I hardly think you and Dean breaking up is the main thing on their minds.
What Rory is worried about Lorelai telling Miss Patty is unclear. It has already been established that Miss Patty knew about Rory and Dean breaking up without being told, from the “numerous sources” to which Lorelai vaguely attributes her knowledge. Lorelai’s reasonable response has already been proven dead wrong, so I don’t know why she is persisting with it. It looks as if this is a scripting error which made it through rewrites and editing, as it seems to belong to their much earlier conversation.