This paper investigates how the use of artificial intelligence (AI) in services may potentially have a negative impact on consumer wellbeing due to the fear of being replaced by AI. Drawing on temporal self-appraisal theory, the study proposes that the fear of being replaced by an AI agent (as opposed to a human) has a negative effect on consumers' psychological wellbeing. The research suggests that this fear negatively affects consumers' perceptions of self-continuity, and that self-continuity perceptions mediate the relationship between fear of AI replacement and psychological wellbeing. Furthermore, the study explores how the type of task intelligence replaced by AI, whether thinking or feeling tasks, moderates the effects of AI on self-continuity and wellbeing.