(1) Background: The hospitality industry is known for exposing employees to work stress, which can lead to work-related burnout and high turnover rates. This study aims to examine the relationships between work stress, work-related burnout, and turnover intention. It also explores the mediating role of work-related burnout and the moderating role of job security and financial dependence. (2) Methods: A cross-sectional survey was conducted among 494 hotel employees working in five-star hotels in Belek and Manavgat, Türkiye, using a moderated mediation research model. The study found that work stress increases work-related burnout, which in turn increases turnover intention. Additionally, work-related burnout was found to mediate the relationship between work stress and turnover intention. Furthermore, it was found that perceived job security moderates the relationship between work stress levels and work-related burnout. Additionally, the variable of financial dependence was found to moderate the relationship between employees' levels of work-related burnout and their turnover intentions. Similarly, the study found that the financial dependence variable moderates the effect of work-related burnout on employees' turnover intention. Additionally, the study found that employees' perception of job security moderates the impact of work stress on work-related burnout. In conclusion, the study suggests that positive perceptions of job security can mitigate the impact of work stress on work-related burnout. Similarly, the impact of work-related burnout on turnover intention diminishes as the degree of financial dependence rises.