In this work, we undertake a systematic investigation of all sequences of orthogonal polynomials that fulfill the dual requirement of orthogonality and the \(T_{\theta ,q}\) -Appell property, where \(T_{\theta ,q}\) represents the q-Dunkl operator parametrized by \(\theta \in \mathbb {C}\) . By establishing a precise characterization of these sequences, we show that the resulting family coincides with the \(q^2\) -analogue of the generalized Hermite polynomials \({H_n(\mu ,q)}_{n \ge 0}\) . This result not only identifies a new class of Appell-type orthogonal polynomials in the q-Dunkl framework but also broadens the existing connections between special functions and q-deformed operators, thereby contributing to the deeper understanding of their algebraic and analytical structures.
