This empirical study applies complexity theory to understand complex interactions of demographics and medical tourism index (MTI) dimensions in predicting causal models leading to high and low levels of satisfaction and behavioral intentions among medical travelers. A questionnaire-based survey is applied to investigate causal models (i.e., a combination of predictors) to predict satisfaction and the behavioral intentions of international patients who traveled to Cyprus. This study also conducted an in-depth interview to identify motives, complications, and conditions stimulating the behaviors of medical travelers. According to the necessary condition analysis (NCA) results, three dimensions of MTI, excluding cost, are necessary to achieve satisfaction and desired behavioral intention. Findings from interviews reveal that medical complications and legal conditions in the origin country influence medical traveler’s behaviors. The model testing results support key tenets of complexity theory and extend our knowledge of how to regulate conditions to discharge a dis/satisfied and dis/loyal patient.