  In this work, we have studied the behavior of null geodesics within a
rotating wormhole space-time in non-magnetized pressure-less plasma. By
focusing on the dispersion relation of the plasma and disregarding its direct
gravitational effects, we examine how light rays traverse in the mentioned
space-time. A key highlight of the work is the necessity of a specific plasma
distribution profile to establish a generalized Carter's constant, shedding
light on the importance of this parameter. Furthermore, we have derived
analytical formulas to distinguish the shadow boundary across various plasma
profiles, uncovering a fascinating trend of diminishing shadow size as plasma
density increases. Intriguingly, certain limits of the plasma parameters result
in the complete disappearance of the shadow. When calculating the deflection
angle by a wormhole in plasma space-time, we observe a distinct pattern: the
angle decreases as the plasma parameter rises in non-homogeneous plasma
space-time, diverging from the behavior observed in homogeneous plasma
space-time. Also, leveraging observational data from M$87^{\ast}$, we establish
constraints on the throat radius. Furthermore, minimum shadow diameters provide
valuable constraints for the radial and latitudinal plasma parameters.
