We apply the Wigner-Yanase skew information, I(ρ, K), as a quantum information quantifier of atomic non-classicality in the dynamics generated by the anti-Jaynes-Cummings (AJC) Hamiltonian when a two-level atom in an initial atomic ground state | g⟩ couples to a single mode of squeezed coherent light. We investigate the effect of variation of squeeze parameter, r, field intensity, | α | 2 , and coupling strength parameter, ξ, on the dynamics of, I(ρ, K). We observe that, I(ρ, K) records mixed state values for all variations of r, | α | 2 , ξ congruent with squeezing effects.