Secretary rhymes with:
cemetery, cometary, dietary, dignitary, hereditary, interplanetary, military, monetary, nonmilitary, paramilitary, pituitary, planetary, proprietary, salutary, solitary, tributary, unsanitary
Secretary sounds like:
sackrider, sartor, sartori, sartre, schrader, schraeder, schreder, schreiter, schroader, schroder, schroeder, schroeter, serratore, shorter, shorthair, shrader, shredder, shrider, skywriter, sorter, sortor, srader