Looking for Answers about Zoo Med Zoo Med Repticare Ceramic Infrared Heat Emitters?

I plan to use a cermaic socket clamp lamp with this emitter inside the wood tortoise structure which is 4 X 3 with a pitched roof.

My grand daughter has bad allergies and I had to make my cat a out door house. I put three carboard boxes together, one inside the other with insulation inbetween layers but still she feels cold. I even put a heat pad in the box and taped an additionl box onto the front so that her sleeping box is at the back of both boxes. It's like she has a foyer before she goes into her smaller box and heating pad. I wanted to redo the box and put a heat lamp in the top, hanging over her about 18 inches above her so that I'm sure she is warm. The box is outside and its winter but the heat lamp would be inside of her box almost completely closed off to the outside except for a cat door that she would use to enter her box. Will this emitter work if it's enclosed within her box cat house, even though the whole thing is outside and not actually in my house? I don't expect it to give her a tan just cut the cold, will it work? Janet H.