  Non-Decoupling D-Terms are an attractive possibility to enhance the
tree-level mass of the standard model like Higgs boson in supersymmetric
models. We discuss here for the case of a new Abelian gauge group two effects
usually neglected in literature: (i) the size of the additional radiative
corrections to the Higgs mass due to the presence of the new gauge coupling,
and (ii) the impact of gauge kinetic mixing. It is shown that both effects
reduce to some extent the positive effect of the non-decoupling D-terms on the
Higgs mass.
