I cannot really see a connection between the addition of trailer brakes and the overheating tail light connection. There is a wire from the brake pedal switch in the tow vehicle to the brake controller, but the brake/turn signal pins and electric brake power pin were not overheating, just the tail lights pin. The brake controller gets its power hot off the battery positive via an inline fuse. No fuse blown in the tow vehicle but obviously too much current at the 7-pin connector for the tail light pin. I normally unplug the trailer from the tow vehicle right away upon arriving home so I feel that I would have noticed if the connector was overheating before this.
Any suggestions or ideas would be most appreciated. I am clueless as to why this happened.

Bill
PS I am not sure of the best term to use for "tail" lights, but will use that since it is short and easy. In this topic I will use the term “tail lightsâ€