(They stand outside the door of Richard and Emily’s house)
LORELAI: [sighs] I’ve gotta see my parents.
CHRISTOPHER: [sighs] I’ve gotta see my parents.
RORY: Ladies and gentlemen, the drama king and queen of Connecticut.
A “drama queen” is a melodramatic person who habitually makes a fuss over minor problems, especially one who does it as a bid for attention. It applies to both genders, but “drama king” is a specifically masculine version. It originated as slang in the gay community during the 1960s, but became mainstream by the 1970s, and was popularised during the 1990s.
The Annotated Gilmore Girls 