Rector rhymes with:
erector, prechter, collector, connecter, connector, decter, defector, derecktor, detector, director, ector, erector, fechter, hector, injector, inspector, lecter, lector, nectar, objector, prechter, projector, protector, reflector, schechter, schecter, schlechter, sector, specter, spector, spectre, spektr, transtector, vector, waechter, wechter
Rector sounds like:
racketeer, rakestraw, raster, rastetter, raxter, reactor, rectory, regester, register, registrar, registry, reister, requester, resetar, rester, restore, restorer, richter, riester, riesterer, righter, rister, roaster, rochester, rocketry, roister, rooster, rossiter, roster, royster, rustier