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