This paper provides a detailed overview of a case study of applying Continual Learning (CL) to a single-session Human-Robot Interaction (HRI) session (avg. 31 +- 10 minutes), where a robotic mental well-being coach conducted Positive Psychology (PP) exercises with (n = 20) participants. We present the results of a Thematic Analysis (TA) of data recorded from brief semi-structured interviews that were conducted with participants after the interaction sessions, as well as an analysis of statistical results demonstrating how participants' personalities may affect how they perceive the robot and its interactions.