  We carefully compute the gluon propagator in the background of a non--Abelian
Weizs\"{a}cker--Williams field. This background field is generated by the
valence quarks in very large nuclei. We find contact terms in the small
fluctuation equations of motion which induce corrections to a previously
incorrect result for the gluon propagator in such a background field. The well
known problem of the Hermiticity of certain operators in Light Cone gauge is
resolved for the Weizs\"{a}cker--Williams background field. This is achieved by
working in a gauge where singular terms in the equations of motion are absent
and then gauge transforming the small fluctuation fields to Light Cone gauge.
