That connector on the stove is designed to receive high pressure propane, and then go through the stove's regulator. The connection built into the trailer is low pressure, as it's taken off the main gas line after the trailer's regulator.
It's very doable (I have three different stoves that I can run this way), but you need to figure out how to bypass the stoves regulator, or it won't work.
Be Safe, and Everyone Goes a Home,
2014 RAM Laramie 2500 w/6.7L Cummins Diesel and Automated Safety Hitch
2016 377RLBH Jayco North Point
300W of Suntech Solar w/Rogue MPPT Controller & Xantrex 2000W PSW Inverter