Using my cold weather wear I cycled 43 miles in about the same temp.
The wind chill was for sure around freezing but actually not too bad once my face got use to it.
Even with wool socks my feet got cold and stayed cold for the ride, atleast did not loose feel like often happens when skiing. Was nice to ride on some new Conti GP 5000s on my Pinarello and not have too many other road competitors.