  A theory of nonmagnetic impurities in an anisotropic superconductor including
the effect of anisotropic (momentum-dependent) impurity scattering is given. It
is shown that for a strongly anisotropic scattering the reduction of the
pair-breaking effect of the impurities is large. For a significant overlap
between the anisotropy functions of the scattering potential and that of the
pair potential and for a large amount of anisotropic scattering rate in
impurity potential the superconductivity becomes robust vis a vis impurity
concentration. The implications of our result for YBCO high-temperature
superconductor are discussed.
