  We compute the effect of a non-zero lepton chemical potential on the
structure of the three flavor Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase of
QCD at finite temperature. We show that, as in the BCS case, the lepton
chemical potential favors two-species color superconductivity and disfavors the
three species pairing. We stress that this study could be relevant for the
cooling of a proto-neutron star with a FFLO core, if the temperatures are
higher than the un-trapping temperature.
