Welcome to the forum!!
Don't let the loss of an eye keep you from letting the horse excel at a activity they enjoy.
From showjumping, to dressage, racehorses, driving horses, to any and every discipline we riders enjoy partnering with our mounts...blind in one eye animals are in all of them.
If your horse had the eye removed, a horse can and will compensate.
The animal may need to look at something a bit differently, hold their head slightly turned but compensation made and off you go to enjoy your chosen activity.
The horse will be held back more by you limiting them in their activity level than the animal limiting itself by loss of that eye.
Some horses are born blind in a eye or lose sight as a baby...didn't effect anything but possibly their appearance.
Keep the other eye healthy and protected from injury or sickness and go ride, enjoy your horse.