The term "celebrity stalker" has a negative connotation as it refers to someone who obsessively follows, contacts, or tries to gain proximity to famous individuals. However, there are other words and phrases that can be used to describe this behavior without the negative connotation. Some synonyms include fan, admirer, devotee, groupie, or follower. These terms do not necessarily imply an obsessive or harmful behavior, and can sometimes even have a positive connotation. However, it's important to differentiate between harmless admiration and stalking, as stalking is a serious and illegal behavior that can harm the well-being and safety of the person being pursued.