  The band structure and the Fermi surface of the recently discovered
superconductor (EMIM)$_x$FeSe are studied within the density functional theory
in the generalized gradient approximation. We show that the bands near the
Fermi level are formed primarily by Fe-$d$ orbitals. Although there is no
direct contribution of EMIM orbitals to the near-Fermi level states, the
presence of organic cations leads to a shift of the chemical potential. It
results in the appearance of small electron pockets in the
quasi-two-dimensional Fermi surface of (EMIM)$_x$FeSe.
