Stereodynamical control aims to prepare molecules in specific quantum states and spatial alignments to investigate their influence on reaction outcomes, thereby enabling precise regulation of chemical reactions. At present, stereodynamical control of reactive collisions of cold molecules remains to be explored. In this work, using a time-dependent quantum wave packet method, the stereodynamical control of the two product channels of the S(¹D) + HD reaction for different initial alignment angles (β = 0°, 45°, 90°) of the HD (v = 1, j = 2) reactant within a low collision energy range of 0.001-0.012 eV is systematically investigated, based on a high-precision potential energy surface. The results reveal that the perpendicular collision configuration (β = 90°) exhibits the highest reactivity due to its favorable insertion mechanism. Moreover, the reaction always preferentially breaks the H-D bond to form the SH + D channel, with the branching ratio σ_SD/σ_SH remaining less than 1 under all conditions and increasing slowly with increasing collision energy. The differential cross section analysis reveals distinct angular distributions for the two channels: the SD + H channel displays a forward-backward symmetric “U-shaped” distribution, consistent with the statistical decay of a long-lived intermediate complex, whereas the SH + D channel exhibits a strong forward-scattering preference. Through random phase approximation and interference term decomposition analysis, it is confirmed that the forward scattering in the SH + D channel is dominated by strong constructive forward-angle interference among different partial waves in the region of very small scattering angles. Finally, the results of the Generalized Deflection Function further indicate that the product scattering is sensitive to changes in reactant alignment, which mainly originates from the variation of interference effects among different J partial waves with the alignment.This work provides a theoretical basis for understanding stereodynamical control and quantum interference in insertion-dominated reactions at low collision energies.