RORY: But how are you gonna make Young Chui dump you? Just be a really bad date?
LANE: Oh, no, we’ve already talked to him. He’s totally on board … See, he’s in love with this Japanese girl named Karen who his parents don’t approve of, so he and Karen see each other secretly while his parents keep setting him up with nice Korean girls. He’s the male me.
Conveniently, the Korean boy Lane has been set up with already has a Japanese girlfriend named Karen, kept secret from his parents because they don’t approve of him dating non-Korean girls. Karen is a Japanese girl’s name meaning “lotus flower”.
The Annotated Gilmore Girls 