  Using the methods developed in earlier papers we analyze a new type of
deformation of the superspace. The twist we use to deform the N=1 SUSY Hopf
algebra is non-hermitian and is given in terms of the covariant derivatives
$D_\alpha$. A SUSY invariant deformation of the Wess-Zumino action is
constructed and compared with results already known in the literature. Finally,
by calculating divergences of the two-point Green functions a preliminary
analysis of renormalizability properties of the constructed model is done. As
expected, there is no renormalization of mass and no tadpole diagrams appear.
