The term "dog hunter" has negative connotations, implying the use of dogs to hunt wild animals. As such, its use is increasingly frowned upon. If you want to describe someone who hunts with dogs in a respectful way, you could use alternatives such as "hunting enthusiast", "dog sport participant", "canine hunting companion", or "game tracker". Alternatively, you could focus more on the breed of dog, going for "hound hunter", "terrier hunter", or "beagle hunter". Whatever the term you choose, be sure to show respect for both the dog and the hunted game by using language that emphasizes safety, responsibility, and ethical hunting practices.