We camp year-round and, in Virginia, that means temps in the 30s are possible. You'll be fine as long as you don't have prolonged, sub-freezing weather. We routinely handle trips where the overnight temps briefly drop below freezing. As long as the daytime temps climb into the 40s, there's no problem.
We always have electrical hook ups in the winter and load our fresh water tank on arrival in case we have to unhook and drain the water hose at night. I did a mod and have a 100W trouble light in my water pump/filter bay.
We carry two electric space heaters and I run a separate power cord to the 115A recepticle on the power pole to operate one of them. Having a "paid for" heat supply allows you to crack roof vents to allow moisture (your biggest enemy) to escape.
We escaped to Florida last January during that bad cold snap. It was 30 degrees warmer in St. Augustine than it was in Richmond. Problem was - it was 9 in Richmond so it was 38 outside my trailer.