  We study the quasiparticle properties of a dipolar impurity immersed in a
two-dimensional dipolar bath. We use the ab-initio Diffusion Monte Carlo
technique to determine the polaron energy, effective mass and quasiparticle
residue. We find that these quantities follow a universal behaviour when
properly scaled in terms of the polarization angle and scattering length. This
trend is maintained over a wide range of values of the gas parameter, even in
the highly correlated regime. Additionally, we show that the anisotropy of the
impurity-bath interaction leads to an anisotropic effective mass that is
unexpectedly larger in the direction of minimum repulsion of the impurity-bath
interaction. Finally, we use our Monte Carlo results to check the accuracy of
perturbative approaches and determine their range of validity in terms of the
gas parameter.
