RV Fridges don't have a compressor, they work off an ammonia mixture that circulates in the cooling unit by heat. They actually remove warm air from the inside of the fridge versus sending cold air into the fridge. In very cold temps like yours the cooling unit can gel up and not circulate, therefore it is not removing the warmer air from the fridge any longer. With some RV fridges, once this happens the fridge may have to go through a reset procedure. Some will just start working when the outside temp warms up and the cooling unit is not gelled up anymore. Putting a light bulb on the cooling unit can help keep it from gelling up as can blocking the vents, although I am not a fan of blocking vents because if you it gets warm out and you forget to remove the blocking it can burn the cooling unit up. Another option is to use heat tape on the cooling unit that is thermostatically controlled to come on at about 34 degrees. You can get that at almost any hardware store in our area but I don't know about in the Southern states. Good luck!