Here's what rhymes with exudaie.
by die buy tie bi bye dye pi pie thai dei ty tai my high why dry lie thy try y guy vi hi shy sigh chi fi hy nigh spy thigh vie ly ply psi quae rye wir awry hai lye mai muy nai pry tri trie wry cy fy kai lai luy mei pri sy thei wai phi sty stye apply supply cry fly sky thereby deny hereby defy fry goodbye sly belie pupae untie spry amebae stupefy turfy overbuy slier reply imply nearby occupy rely whereby comply certify alibi decry amoebae edify overlie aquae bonsai deify ossify retry lanai scurfy shanghai ripply banzais satisfy modify nuclei classify signify verify gratify notify underlie fortify pacify ratify samurai standby unify beautify lullaby termini terrify typify codify crucify descry dignify liquefy resupply vilify acidify firefly triply vivify blowfly calcify horrify misapply liquify overfly versify barfly vitrify drachmai speechify yuppify justify clarify qualify specify alkali simplify testify butterfly exemplify glorify purify quantify alveoli amplify magnify nullify rectify falsify solidify mollify mortify oversupply ramify detoxify mystify stratify stultify ultrahigh emulsify petrify reunify revivify cumuli scarify declassify hyperbolae mummify prettify beatify refortify syllabify dandify identify stimuli multiply intensify diversify personify electrify preoccupy reclassify dissatisfy gentrify disqualify indemnify objectify demystify dragonfly solemnify oversimplify misidentify transmogrify