<p>This study investigates viscous, incompressible, two-dimensional steady Stokes flow through a wavy-walled channel at low Reynolds number limit. The channel geometry incorporates sinusoidal variations on both the upper and lower channel walls. The flow is driven by a uniform pressure gradient along the horizontal direction. An external magnetic field is applied at an inclination with respect to the vertical axis, allowing investigation of the effects of magnetic field orientation on flow behavior. To account for magnetic effects, the classical Stokes equations are modified with a Lorentz force term. Due to the dominance of viscous forces in Stokes flow, no-slip conditions are imposed on the wavy channel walls. Further, we consider a very small magnetic Reynolds number to eliminate the magnetic-induced equation. The Stokes equation is solved using the boundary element method (BEM) formulated in terms of stream function-vorticity variables. The study presents a detailed parametric investigation that reveals the influence of the Hartmann number, magnetic field angle, and surface wave amplitude on the flow behavior. The present analysis holds practical relevance for engineering applications such as microfluidic platform development, magnetically actuated biomedical flow systems, and liquid metal cooling in advanced electronic and nuclear systems.</p>