EMILY: This is a very special girl. You take good care of her.
HEADMASTER: We’ll do our best, Emily.
LORELAI: Oh, God. Rory is not gonna be a problem. She’s totally low maintenance, you know, like a Honda. You know, they’re just easy, just . . . nice office.
Honda is a Japanese company which makes cars and other vehicles. Hondas are well known for being cheap to run and with low repair costs. Given how expensive Rory’s school is, Rory’s “running costs” are not really that low.