This is one of the many chicken-based Chinese dishes Lorelai and Rory bought the night before.
Szechuan Chicken is a spicy stir-fry of chicken cooked with Szechuan peppercorns and chilis. It originated from the Sichuan district of southwestern China. It usually contains vegetables, especially red peppers, and sometimes peanuts, as well as hoi sin sauce.
The Annotated Gilmore Girls 