  Bianchi VII_h models have been recently proposed to explain potential
anomalies in the CMB anisotropy as observed by WMAP. We investigate the
violation of statistical isotropy due to an embedded Bianchi VII_h templates in
the CMB anisotropy maps to determine whether the existence of a hidden Bianchi
template in the WMAP data is consistent with the previous null detection of the
bipolar power spectrum in the WMAP first year maps. We argue that although
correcting the WMAP maps for the Bianchi template may explain some features in
the WMAP data it may cause other anomalies such as preferred directions leading
to detectable levels of violation of statistical isotropy in the Bianchi
corrected maps. We compute the bipolar power spectrum for the low density
Bianchi VII_h models embedded in the background CMB anisotropy maps with the
power spectrum that have been shown in recent literature to best fit the first
year WMAP data. By examining statistical isotropy of these maps, we put a limit
of {\sigma/H}_0 < 2.77E-10 (99% CL) on the shear parameter in Bianchi VII_h
models.
