EMILY: She wouldn’t stop scowling.
LORELAI: I was going for a Billy Idol thing.
Billy Idol (born William Broad in 1955), British-American singer. He first achieved fame in the 1970s as leader of London punk band Generation X, before a subsequent solo career made him a lead artist on MTV in the 1980s. His biggest hits include Dancing With Myself, White Wedding, Rebel Yell, and Eyes Without a Face. Billy Idol took a break from music during the 1990s, making musical comebacks in 2005 and 2014.
Billy Idol was known for his signature scowl, which he came up with as a way of making himself memorable. He could easily have been an artist that Lorelai enjoyed during her teen years.