We investigate a minimal renormalizable model that incorporates a light fermionic weakly interacting massive particle (WIMP) dark matter (DM) and a mediator for interactions with standard model particles. Our comprehensive likelihood analysis considers constraints from direct detection experiments, collider searches, cosmological observations, and astrophysical observations. In particular, we account for constraints derived from cosmic microwave background (CMB) observations, taking into consideration dark matter annihilation processes beyond p-wave. Remarkably, despite these constraints, we found a significant parameter space where dark matter can persist. Furthermore, we also found that future indirect detection experiments can offer promising prospects for probing the resonant annihilation regions of dark matter.