In a Raman amplifier having a broadband pump beam which is not exactly collinear with the Stokes seed beam, the Stokes output spectrum will be "fanned", i.e., angularly dispersed, because the direction of maximum gain differs for growth of each component of the Stokes spectrum. The spectral fanning produces transverse phase and intensity variations which degrade the Stokes output. Approximate analytic expressions are given for beam quality degradation in cases where the Stokes seed is narrowband, broadband and temporally correlated to the pump beam, -or broadband and uncorrelated. The effect is predicted to be usually negligible, but can be significant for cases of very large beam aperture sizes, bandwidths and/or angles. Use of a diffraction grating in the output Stokes beam or a stepped mirror in the input pump beam are proposed for reducing the effect.