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 non-homogeneous 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.