I have a 2012 Ford F150. Regular cab 5.0 long bed. I have what appears to be a broken wiring connector/plug. It's under the back bumper, not the main harness but a side plug that feeds into the wiring for the trailer plug. I'm getting no power to the trailer plug and I suspect this broken plug is the culprit. Anyone happen to know what this plug is called? Will post pictures.

 

That looks like the liscense plate lamp holders.
Do I see a broken bulb?

 

I agree, but those two look different, which wouldn’t make sense for the license plate bulbs, which should be the same

 

just splice the wires together!!!

Theyre the same color, black & yellow on both sides.

 

To me it looks like two different connectors for the marker type lamps.
The wire colors match the print.

 

If your concern was “no power to the trailer plug”, as you stated above, I don’t think either of the “bulb sockets” are your problem.