Floating offshore wind turbines (FOWTs) offer a promising avenue for harvesting wind energy in deep-water regions where fixed-bottom turbines are impractical. This study investigates the impact of wind-wave misalignment-induced motions on the aerodynamic performance and power production of a FOWT using computational simulations. Employing QBlade software coupled with the Free Vortex Method (FVM), the study examines various misalignment scenarios between wind and wave directions: 0° (alignment), 30°, 60°, 90°, and 120° (misalignment). The wind direction remains constant while the wave direction is systematically varied to simulate offshore conditions realistically. The results indicate that misalignments between 60° and 90° notably affect the aerodynamic behavior and power output of the FOWT, introducing oscillations in aerodynamic forces and causing fluctuations in power production. Analysis of the vortex wake structure further illustrates variability, impacting downstream turbines within an array configuration. The study highlights significant changes in lift and drag forces as misalignment increases, attributed to complex interactions between wind and wave-induced motions that disrupt airflow over the turbine blades. Furthermore, the research discusses the implications for optimizing FOWT design and operational strategies in offshore environments. Understanding the effects of wind-wave misalignment is crucial for enhancing turbine layout and control strategies to maximize energy capture and operational efficiency. This study contributes valuable insights into dynamic interactions affecting FOWTs under varying environmental conditions. It emphasizes the importance of considering wind-wave misalignment in the planning and deployment of floating offshore wind energy systems to ensure robust performance and maximize energy yield in challenging offshore environments.