LORELAI: We had a really, really, really, really, really bad time. I swear, it was one of the worst times I’ve ever had, it was awful. Do you remember skiing with the Danners and their Dobermans? … This was worse.
The Doberman, often called a Doberman Pinscher in North America, is a large breed of dog originally bred in Germany in the late 19th century. They have long muzzles, often have a muscular and intimidating appearance, but are quite graceful as well. They make excellent guard dogs, and are often thought of as aggressive and fierce, even though there are less attacks by Dobermans than other breeds.
You may remember that Chase Bradford, the Gilmores’ former neighbour in Hartford that Emily fixed Lorelai up with on a surprise date, had parents who owned Dobermans. They must have been a popular dog to own in the Gilmores’ social set at the time. Maybe because they were wealthy people who had property that needed guarding.
The Annotated Gilmore Girls 