Probably not the issue but unplug it, then use a small screw driver on the metal slot in the connector to bend it, so it clamps the metal tab in alternator better
On Fords it is usually a white wire, its called the Stator wire
What you describe is most likely a failing Field coil, and Stator is part of that section of an alternator
Alternators case has 3 Fields(coils of wires), the spinning rotor generates AC volts in each coil, AC volts are converted to DC by diodes
Because an electrical "circuit" needs 2 wires to complete the "circuit"(circle), think of the Stator as the Neutral wire in an AC circuit
And like in your house wiring Neutral is also connected to Ground in your house panel
The Stator is connected to all 3 Field coils, the OTHER wire from each Field coil goes to the diodes to make DC out voltage
Stator voltage is only present when alternator is spinning and lower voltage than alternators DC output
Stator voltage was using for electric choke heaters in the good old day, because it only had voltage with engine running and lower voltage allow longer warm up for choke heater so slower opening time
Sign of a failing Field is dimming lights at idle OR if monitoring voltage while driving a drop in voltage without associated power draw, like fan turned to HIGH should show a drop but then a return to previous voltage level, thats the voltage regulator working correctly
If voltage just drops and doesn't come back up, thats usually a Field issue
13.5v is usually about the lowest it should be at warm idle, lowest RPM
13.3v is fine, anything in 12v range is not