Quantal calculations for scattering of ground-state antihydrogen by metastable
(n=2S) helium atoms have been performed using the nonadiabatic, atomic orbital expansion technique at thermal energies. The zero-energy elastic cross sections of the present systems are much greater than the corresponding value for the ground-state helium target. The low-energy elastic cross section for the singlet metastable helium
[He(21S)] target is higher than the corresponding value when the target is in the metastable triplet state
[He(23S)].