† hieromachyObs.rare.|haɪəˈrɒməkɪ| [f.Gr. ἱερό-ς sacred (hiero-) + -µαχία fighting.] A conflict of ecclesiastics. 1574Life 70th Abp.Canterb. To Rdr. D ij b, The ambitious and tragicall Hieromachie betwene the two Hierarches off Canterburye and Yorke for the papacie in England.