In the summer of 2013 I blogged some about Waincraft as I understood it and one thing I wrote about was bioregion and orthopsychy in relation to the Powers. For example, in the desert, The Lord of the Green might be seen as a little more harsh than in New England. The Lady of the Forest would possibly be the Lady of the Desert. Would this be a proper assumption to make?”
Yes, exactly. Some of the Powers are unlikely to be vastly different across different bioregions (such as Night, which is pretty equal across the board), but ones tied to forces that specifically differ between biomes will definitely manifest differently.
The Lord of the Green in the desert would likely be a harsh, dry-witted, prickly, eminently practical and thrifty personality (though given to occasional exuberant displays of fierce joy and wonder), whereas a rainforest Lord of the Green would be lush and potentially overwhelming in his exuberance and largesse. A wood and fields-land Lord of the Green would likely be very similar to most European manifestations of him, regardless of what continent his worshipers inhabit.
I would probably say that there would be no Maiden of the Woods in a desert, savannah or similarly low-tree or treeless biome. Likely, another predatory and protecting Power (such as your Lady of the Desert) would make itself known, perhaps in the form of a lioness as an example (such as in Egypt, which has few trees and without forests, and gave us several protecting lionesses – Bast, Sekhmet, Mehit and Pakhet).