Distort rhymes with:
extort, contort, extort, tort, torte, abort, assort, athwart, boart, bort, cavort, comport, consort, contort, cort, corte, court, ct, deport, dort, escort, exhort, extort, foret, fort, gort, hjort, import, kort, korte, laforte, laporte, mccort, mccourt, misreport, mort, norte, ohrt, ort, port, porte, precourt, quart, rancourt, report, resort, short, shortt, snort, sort, sport, support, swart, teleport, thwart, tort, torte, transport, underreport, valcourt, vancourt, vanwart, wart, zwart
Distort sounds like:
desiderata, destroyed, dexterity, distorted, doctorate, doctored