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