  The viscous correction to thermal photon production at leading log order is
calculated and integrated over the space-time evolution of a hydrodynamic
simulation of heavy-ion collisions. The resulting transverse momentum spectra
and elliptic flow can be reliably calculated within a hydrodynamic framework up
to transverse momenta of $q_\perp$ = 2.5 GeV and $q_\perp$ = 1.5 GeV
respectively. A non-vanishing viscosity leads to a larger thermalization time
when extracted from the experimentally measured inverse slope (T_eff) of photon
$q_\perp$ spectra. A precise, O(20 MeV), measurement of photon T_eff can place
stringent bounds on $\tau_0$ and $\eta/s$.
