Decathlon have fabulous Ladies snow boots, they are brown suede uppers (but the special waterproof stuff) with a small amount of wool at the very top. They look smart enough to wear to work with a skirt, probably not a suit but a smart work skirt. They are fantastically comfy and very warm. They also have decent grips on the soles - perfect for the current weather.
Can't find them on their website to post a link - but would recommend them.