This instrumental piece by Mexican band leader and composer Juan García Esquivel, often known by his surname only, is the “interesting music” which is playing when Dean first arrives at Babette’s and finds Rory in costume. It is from the CD that Rory got from Lane’s “miscellaneous” section, and which she described as “the weird one”.
Esquivel is considered to be the king of late 1950s-early 1960s quirky instrumental pop, or lounge music – Rory’s choice of his music shows that while she has tried to be faithful to period, she is doing so with her own idiosyncratic style, and subverting conventional expectations.
Esquivel’s music was released on a series of CDs in the 1990s; Flower Girl of Bordeaux is from the 1995 compilation album Music From a Sparkling Planet.
Notice how this is a slight callback to the “kick ass” Bordeaux wine drunk earlier in the episode; perhaps an allusion to how intoxicating Rory appears to Dean.
The Annotated Gilmore Girls 