Here's what rhymes with qi.
e ie ii key ee ki gi quay ghee tke be he we me she t de see d p pp b c sea v ve di g tea thee ye fee knee ne qui si z bee li mi te vii je ni sie ti wee xi xii xiii ci glee hee hie lee nee pea ri ry ski tee wi wie xxi xxii xxiii dd dy gli hae ji kb lea mea mee ny shi shih thi whieh xxxi yi ze bb chih dee fea fie gee lii nae nie pee quis rhe rny sae sci shee tiie xxxii xxxiii xy zi whee three free tree agree pre ac plea dc flee tlie xvi xvii fc fhe tc bc flea sv xxvi xxvii alii lhe pari prix xxxvi xxxvii goatee queerly scree twee epee saree brie degree decree cc cd exp lessee marquis db pc pg rupee sd sibi tp bailee bt donee dp jt marquee pd spree tb tv settee tepee bursae curie ranee suttee wormy aurorae emcee gutsy quinsy teepee honoree topee whoopee puttee sirree kedgeree soignee yippee http mit debris esprit foresee assignee grantee oversee quelque referee trainee apogee appellee ftp legatee pensee vendee amphorae oversea banshee parolee prithee artsy escapee fusee conferee dungaree sudsy florae footsie tootsie guarantee nobody trustee disagree devotee mortgagee nominee addressee guaranty jubilee appointee repartee bowsprit filigree retiree undersea abscissae detainee honeybee manatee potpourri attendee calliope internee invitee monody returnee wannabe draftee abductee inductee guarani paltrier sultrier wannabee wintrier shoetree absentee licensee consignee tympani amputee timpani chiropody colossally deportee jamboree enlistee maharanee bourgeoisie interviewee phonology diastole hyperbole transferee franchisee bumblebee axletree singletree whiffletree whippletree idiosyncrasy