  We study the repulsive polaron problem in a two-component two-dimensional
system of fermionic atoms. We use two different interaction models: a
short-range (hard-disk) potential and a dipolar potential. In our approach, all
the atoms have the same mass and we consider the system to be composed of a
uniform bath of a single species and a single atomic impurity. We use the
diffusion Monte Carlo method to evaluate polaron properties such as its
chemical potential and pair distribution functions, together with a discussion
on the deficit of volume induced by the impurity. We also evaluate observables
that allow us to determine the validity of the quasi-particle picture: the
quasi-particle residue and the effective mass of the polaron. Employing two
different potentials allows us to identify the universality regime, where the
properties depend only on the gas parameter $n a_s^2$ fixed by the bath density
and the two-dimensional scattering length.
