Deerstalking is a term used for hunting or stalking deer for sport or food. There are many synonyms for this term, including hunting, tracking, and pursuing. Other similar words could be chasing, trailing, or scouting. These words all relate to the act of following or pursuing an animal, often in a natural setting. Additionally, some may use terms like game hunting or big game hunting to refer to the same activity. Whatever term is used, it is important to remember the potential impact on the environment and to engage in responsible and ethical hunting practices.