At this time of year, no. November is generally too cold for riding in the rain, forget about December! I had plans to ride in the early part of the snowstorm that started two days ago, and ended up in the arena because it wasn’t snowing, it was raining.
I bought a Kerrits coat a number of years ago so that I could ride in the rain without getting completely soaked. I will admit the thought of prepping a wet, probably muddy horse to ride is more of a deterent than riding in the rain.