A horse shelter could be a barn or 3-sided lean to that protects the horse from the elements. Or it could be a place for rescued horses to find treatment and hopefully someday, adoption with a loving family.
It is called "stable". A shelter exclusively for horses.
stable
Animal shelter
you can keep as many horses as you can care for depending on size of land and shelter
cote pretty common crossword puzzle item Sheep mostly live in Pen, or barn or in paddocks. I think cote or barn is the right word because pen and paddocks are used in case of horses.
Wild ones use caves,trees, and anything that they can find that provides shelter
Horses that have not been provided a barn or shelter from their humans will take cover under trees or large shrubs or brush. Wild and ferel horses will do this also.
The horses name was Incitatus.
Horses undergoing frequent exercise require adequate rest, nutrition, water, shelter and companionship.
The name of a pigeon shelter is called a bird house.
The horses name is Snowflake.
Some horses live outside in a herd, and have a small shelter to go in when it rains. Some horses also live in separate stalls.