LORELAI: Where’s the pen you take orders with?
LUKE: I wasn’t anticipating taking orders at the Poe reading.
LORELAI: Hm, there goes your Boy Scout badge.
Boy Scout, previously discussed. Boy Scouts receive merit badges for successfully learning and completing various tasks, such as first aid, cooking, swimming, citizenship, hiking, and so on. These badges are in the form of patches, which can be sewn onto a uniform or a sash.
Lorelai refers to the maxim, “A Boy Scout must always be prepared”. In fact, Luke dropped out of the Boy Scouts very early.
The Annotated Gilmore Girls 