What is a stronger trigger for you: the continued debt until you pay off your car, or the thought of being "dependent" on someone else. (In quotes because that's how YOU may see it, but it may not be reality).
As bluelily said, having a car may be an important simple of independence. OTOH, debt may be an important symbol of slavery. It depends on the symbol that scares you the most.
What will make you feel more comfortable: to be out of debt, or to have your own wheels?