Lorelai: Rory and I have a skating date.
Rory: I'm Nancy Kerrigan.
Lorelai: And I'm Tonya Harding. I'm going to do the whole shoelace coming untied, nervous breakdown, let me start again act and everything.
Nancy Kerrigan is an Olympic figure skating medalist whose poor handling of her media exposure resulted in a poor public image, which dampened her off-rink success as a celebrity.
Tonya Harding was associated with a scheme by her then-husband in which a hired thug clubbed Nancy in the knee in an attempt to remove her from competition with Tonya during the 1994 USFS Championships. The publicity backlash, along with a history of excuses and odd problems, largely destroyed her skating career, which had been fairly successful to that point. The shoelace incident referred to was at the 1994 Winter Olympics. Since then, she has had numerous minor scrapes with the law (usually involving alcohol and domestic arguments), in addition to a minor career as a female boxer.