FRANCIE: I want you to go back to Margaret Thatcher and tell her to play ball.
Margaret Thatcher, Baroness Thatcher, born Margaret Roberts (1925-1913), Prime Minister of the UK from 1979 to 1990, and leader of the Conservative Party from 1975 to 1990. The longest-serving British prime minister of the 20th century, she was the first woman to hold that office. As prime minister, she implemented controversial conservative policies that became known as Thatcherism. A Soviet journalist dubbed her the “Iron Lady”, a nickname that became associated with her uncompromising politics and leadership style.
Francie is suggesting that Paris is likewise a tough and uncompromising female leader.
The Annotated Gilmore Girls 