There are several words and phrases that can be used to describe a hare hunter. One such word is "hare coursing enthusiast," which refers to someone who enjoys hunting hares with specially trained dogs. Another term that can be used is "hare trapper," which refers to someone who uses traps to catch hares. For those who are interested in hunting hares with guns, they can be called "hare shooters" or "hare hunters." Additionally, there are more generic terms that can be used to describe someone who hunts any type of game, including "big game hunter," "small game hunter," or simply "hunter".