Down to 15F or so I use GoreTex socks, mesh trail runners, thick wool socks, and polypro liners. Sometimes I add oven bags over the liners to serve as vapor barriers. It works ok, but the shoes soak up plenty of moisture. It never gets to my feet, but when temps are around 25F or below, having cold snow or ice clinging to footwear doesn't help keep my feet warmer! A water-repellent leather outer would be better, but then my feet would be cold because they're strapped to heavy, clunky boards.
46F and rain should be no problem though. I was plenty warm at 56F with just thin low cut wool socks (no GoreTex) and constant creek, bog, and puddle soakings.