The homogenisation of a two-phase composite medium comprising metallic, ellipsoidal inclusions embedded in a non-conducting host medium is carried out via the bilocally approximated strong-property-fluctuation theory. Comparison is made against the results obtained via the Bruggeman formalism. The correlated actions of neighbouring inclusions result in a considerable mitigation of the percolation threshold anisotropy due to inclusion shape alone. Furthermore, the choice of covariance function may only have a secondary influence in relation to the effects of the correlation length.