In this paper we consider the inverse problem of determining a rigid inclusion inside
a thin plate by applying a couple field at the boundary and by measuring the induced transversal
displacement and its normal derivative at the boundary of the plate. The plate is made by nonhomogeneous
linearly elastic material belonging to a general class of anisotropy. For this severely
ill-posed problem, under suitable a priori regularity assumptions on the boundary of the inclusion,
we prove a stability estimate of log-log type.