Temp blend door actuator is bad on the passenger side assuming you want both sides to blow cold air.
heater control valve is bad on the drivers side.
The front relay is on the passenger side kind of hidden but you'll find it on the upper front right side on the passenger side.
sounds like an air bag problem
The compresser is behind the passenger side wheel well liner.
Our car had this problem. Answer was a new A/C computer needed.
The 2003 Lincoln Navigator air conditioner airflow is directed by lending doors. The blending doors open and close to direct the cool air. The blending door for the passenger side vent is probably stuck closed.
B1997 37 23 Passenger Side Air Bag Circuit Shorted to Ground B1996 37 23 Passenger Side Air Bag Circuit Shorted to Battery or Ignition B1998 37 23 Passenger Side Air Bag Circuit Resistance High B1999 37 23 Passenger Side Air Bag Circuit Resistance Low
You need to replace the heater coil !
passenger side behind wheel well toward the front
the 2001 is behind the passenger side headlight
it is onthe passenger side under the hood around the head lamp