You need a CHE lamp with a thermostat. It only puts off heat, not light. And you need the thermostat so it won't over heat and stays safe. The forums here have great threads on CHEs. Read up a bit and then go explain to your mom what you need and why. Your hedgie needs the warmth to survive. And a CHE will be less expensive in the long run than the space heater.
The fox knows many things, but the hedgehog knows one big thing. ~ Archilochus