Rely on layering rather than overly heavy single-purpose outer layers. On a windy day, a poncho makes an effective wind barrier, even if it is not raining or snowing.
Concentrate on keeping your head, hands and feet, warm and dry, as a priority. Add or strip off layers as needed.
I recommend neon-colored poly runner's gloves and a beanie hat. I use a poly fleece cap, and microfiber gloves, in neon lime-yellow. The poly insulates even when wet and dries very fast.
Plus, the loud color contrasts against your surroundings and helps raise the safety margin when you have to walk on a road. The Valcarlos Route from St. Jean Pied de Port has significant road walking. That is why this route remains open all year, except for the heaviest snowfalls. They need to keep the road open...
Hope this helps.