  Recently, there have been hints for dark matter (DM) annihilation in the
galactic center to one or more photon lines. In order to achieve the observed
photon line flux, DM must have a relatively large effective coupling to
photons, typically generated radiatively from large couplings to charged
particles. When kinematically accessible, direct annihilation of DM to these
charged particles is far too large to accommodate both the DM relic density and
constraints from the observed flux of continuum photons from the galactic
center, halo and dwarf galaxies. We discuss three exceptions to these
obstacles, generating the observed line signal while providing the correct
relic density and evading photon continuum constraints. The exceptions are (i)
coannihilation, where the DM density is set by interactions with a heavier
state that is not populated today, (ii) forbidden channels, where DM
annihilates to heavier states that are kinematically blocked today, but open in
the early Universe, and (iii) asymmetric DM, where the relic density is set by
a primordial asymmetry. We build simple models to realize these scenarios.
