Heavy insulated curtains in front of the door work wonders. Arrange them so they go floor to ceiling, and are close to the wall.

I've used that metal double bubble insulation over really poor windows and doors before (in rentals, where I wasn't going to spend much money). Tape all around the edge. It cuts out all the natural light, but definitely helps with the heat loss.

You can also get "window insulating kits" with some plastic film you tape around the edges and heat a little bit with a hair dryer to get it tight and decent looking. Not as good insulation, but you don't lose the light.

Curtain and the clear plastic is a good combination. The clear plastic helps trap air in which works as a bit of insulation.

Clear bubble wrap on the windows will give some insulation and let light through, but you can’t see through it.

Is the door drafty or just conducting too much heat?

I think the latter. I can’t feel wind or anything so I assume it’s just letting heat escape through edges and window on the door.

You can try any or all of them. Anything will help and more would be better.

A screen door with a glass insert for winter on the outside would help, if the place is owned.

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