Optically detected magnetic resonance (ODMR) of heavily nitrogen-doped ZnSe at 24 GHz reveals an anisotropic spectrum which can be assigned to a deep donor comprised of a Se vacancy paired with an impurity. The newly resolved spectrum is trigonal along [111] with g(parallel-to) = 2.0072(2) and g(perpendicular-to) =2.0013(2). Comparison of this g tensor with previous work leads to the assignment of the spectrum to V(Se)-X, where X is most probably Cu or Ag. Combining this result with previous photoluminescence and ODMR work shows that ZnSe:N has three distinct donors which include both impurities and intrinsic defects.