I know right where you live, my '74 Sovereign
sits 30 minutes due north of you, up Perth Road. You're where that car dealer and drive-in theatre are, aren't you?
Just a note: if it only hit 0 Fahrenheit (-18C) consider yourself lucky, I have seen it -40 there in winter. At -40, it doesn't matter if it's degrees F or degrees C, that's where the two scales meet, and brother, that is COLD.
Slippers and an electric heater won't add enough to your gas furnace to keep you healthy and warm, plus ice will tend to build up more aggressively just from the moisture in your breath.
All in all, not a recipe for safety and good health. Plus, what would you do for food and water? Tough to keep them in good enough shape to consume, isn't it? Especially when cooking them adds more moisture to the already water-laden air in your trailer.
Just saying, be very careful my friend. If the hydro went out on a cold night, you could be in real trouble with no heat or light. And as you probably already know, in farm country, that's not an unusual event.