I was looking on my phone last night so looking at the photo a little clearer today and referencing the atwood wiring diagram it looks like several possibilities.
To diagnose you really need to trace the red wire that the alligator clip is on and see if it goes to the motor, the gas valve, or the circuit breaker/on-off switch. If it goes to the gas valve then the advice above should fix it.
2016 Jayflight 26BHS Elite
2014 F150 4x4 Super Crew, Eco-Boost, Max Tow
Bayliner Trophy 2002ff