Please see picture below.
It would be a lean-to greenhouse so the exterior wall of the house would serve as one of the walls. Foundation of the GH would be a cement slab and house wall is brick. There is a large window and door on the house wall that would e inside the GH. Fortunately, with the current plan both the water and electrical on that wall would be inside the GH.
I am in 7b, not far from zone 8a. We get some snow/ice, not much. In a normal winter we might get 2-3 inches but it is often spread out over a storm or two or more. Our average temps for the winter season range from a low of 38 to high of 55. We do get freezes and a half dozen or so nights in the twenties on average.
My biggest concern is not heating but cooling (maybe I need to be equally concerned about both.) The glass would be south facing (which will receive more sun in winter than summer due to the shade tree having no leaves) and our summers are hot and humid with temps regularly in the 90s and heat indexes in the low to high 100s in July, August, and September. Its my understanding that single pane windows would also not help the heat because the would allow more uv through?
Wind: We can get wind. We are not a typical, constant high wind area but we do get strong thunderstorms.