We study a short coherence length d-wave superconductor with a finite densi
ty of unitary scatterers using the Bogoliubov-deGennes technique. We find t
hat the low-energy density of states is reduced, the superfluid stiffness i
s significantly larger, and off-diagonal long-range order is more robust th
an the conventional self-consistent T-matrix prediction. These results an a
consequence of the inhomogeneous pairing amplitude in the ground state and
of the low-lying excitations formed by hybridized impurity resonances. Thi
s inhomogeneous response accounts for the insensitivity of high-T-c superco
nductors to impurities.