RESPONSE
Most likely reason would be the Air Conditioning clutch relay is sticking. May also have a short coming from the clutch switch. Could be the switch or the wiring. I will provide a wiring diagram for better understanding of the blown fuse number 6.
Air Conditioning Wiring Diagram 2002 Lincoln Town Car 1 of 2
2002-lincoln-town-car-air-conditioning-automatic-a-c-circuit-1-of-2Air Conditioning Wiring Diagram 2002 Lincoln Town Car 2 of 2
2002-lincoln-town-car-air-conditioning-automatic-a-c-circuit-2-of-2