This is: The Sisterhood of the Cackling Hen.
It bills itself as the premiere source of empowerment for the modern woman - in reality, it is mostly old ladies playing bingo and exchanging lurid stories of their many exploits. While mostly innocent in the local chapters, higher up in the organization some deal of power in world dealings is wielded. This is mostly through the "wily ways" passed from generation to generation - a lady-like way of getting males to do what said lady pleases. It involves a lot of winking.
Connections:
Teacher of: Sadie Weiz.
Teacher of: Lulu O'Leary.