  We assess the impact of radiation anisotropy on the line shapes that result
from relativistic magnetic Compton scattering in the low-density/high-field
regime. A Monte Carlo implementation of radiation transport allows for spatial
diffusion of photons in arbitrary geometries and accounts for relativistic
angular redistribution. The cross section includes natural line widths and
photon "spawning" from up to fourth harmonic photons. In our first paper we
noted that even if the photon injection is isotropic a strongly anisotropic
radiation field rapidly ensues. We now investigate the angular distribution of
cyclotron spectra emerging from an internally irradiated magnetized plasma with
a prescribed global geometry (either cylindrical or plane parallel) and the
effects of anisotropic photon injection on the line shapes. Varying the input
angular distribution permits a better understanding of the line formation
process in more realistic scenarios where the radiative mechanisms are
influenced by the intrinsic anisotropy of the field and by moderate
relativistic beaming. In general, the line features are most pronounced along
the directions of the anisotropic continuum injection and tend to be weakened
in other directions, relative to the line features resulting from an isotropic
continuum injection. We find that the enhancements at the line wings of the
fundamental, which appear prominantly in the case of isotropic continuum
injection, are strongly suppressed along the direction of anisotropy in the
case of beamed continuum injection, regardless of geometry or beaming pattern.
