  We examine very general four-point interactions arising due to new physics
contributing to the Higgs production process e+e- --> HZ. We write all possible
forms for these interactions consistent with Lorentz invariance. We allow the
possibility of CP violation. Contributions to the process from anomalous ZZH
and gammaZH interactions studied earlier arise as a special case of our
four-point amplitude. Expressions for polar and azimuthal angular distributions
of Z arising from the interference of the four-point contribution with the
standard-model contribution in the presence of longitudinal and transverse beam
polarization are obtained. An interesting CP-odd and T-odd contribution is
found to be present only when both electron and positron beams are transversely
polarized. Such a contribution is absent when only anomalous ZZH and gammaZH
interactions are considered. We show how angular asymmetries can be used to
constrain CP-odd interactions at a linear collider operating at a
centre-of-mass energy of 500 GeV with transverse beam polarization.
