They are not interested in you or your daughter's financial well being. They are only there to sell you a car.
Also, I know that if a dealership provides you a loan and you pay it off really quick, they get whats called a charge back from the money they made from you taking a loan from them, basically they have to pay back some profit they got for providing the loan. They don't want that so they will tell you how long you need to pay the loan before something happens even though it may not be true. I've heard that timeline is 6 months, but it could be 8 months for them?