The hood doubles as a neck warmer:
The hood can be worn normally over your head. It covers your hair and the hole can't be seen.
Wearing a scarf while horseback riding is prohibited in certain countries for safety reasons. You can keep your neck warm by using the convertible hood as a neck warmer. Slip your head through the hole before putting on your riding helmet and place the front of the hood around your neck like you would a neck warmer.