From Wikipedia : The term female-led relationship (or "FLR") refers to a model for romantic heterosexual relationship in which both partners agree that the woman will act as the leader and ultimate authority. If the participants are married, the arrangement may be termed a female-led marriage (FLM) or wife-led marriage (WLM).
It is clear here that person 2 doesn't care and wants person 1 to shut up. In order not to hurt person 1's feelings person 2 uses flr. In this case FLR is the equivalent of nodding while not listening to someone.
bitemyshinymetalass: I'm Mom and I want to shoot down everything you say so I can feel good about myself. 'Cause I'm an uptight BLEEP BLEEP, Buster! You old horny slut!
In this case flr is equivalent to WTF.