In this paper, a linearized numerical scheme of nonlinear variable-order fractional diffusion equation with time delay is constructed. We apply the L2-1(sigma) formula to discretize the temporal derivative and second-order central difference scheme to discretize the spatial derivative. The proposed method is unconditionally stable and convergent with O(tau(2)+h(2)), where tau and h are the time and space steps, respectively. Numerical experiment demonstr...