  We provide a band structure with low-energy properties consistent with recent
photoemission and quantum oscillations measurements on FeSe, assuming
mean-field like s and/or d-wave orbital ordering at the structural transition.
We show how the resulting model provides a consistent explanation of the
temperature dependence of the measured Knight shift and the spin-relaxation
rate. Furthermore, the superconducting gap structure obtained from spin
fluctuation theory exhibits nodes on the electron pockets, consistent with the
'V'-shaped density of states obtained by tunneling spectroscopy on this
material, and the temperature dependence of the London penetration depth. Our
studies prove that the recent experimental observations of the electronic
properties of FeSe are consistent with orbital order, but leave open the
microscopic origin of the unusual band structure of this material.
