The prospect of a Dark Sector neutral under Standard Model interactions represents a compelling explanation for the existence of Dark Matter. A popular class of models considers kinetic mixing as a portal between the visible and the Dark Sector. The introduction of a non-abelian $SU(N)_D$
group can cause kinetic mixing via higher-dimensional operators, naturally explaining the experimental constraints on kinetic mixing parameters. Assuming the presence of a non-abelian CP-odd portal, we investigate the parameter space allowing for a sizeable electron Electric Dipole Moment (eEDM), taking into consideration present and future experimental sensitivities. We show that potentially observable eEDM can be produced in vast regions of the parameter space compatible with current experimental constraints and observed dark matter abundance