Avowedly rhymes with:
acidly, advisedly, allegedly, assuredly, avidly, belatedly, blessedly, contentedly, decidedly, deservedly, determinedly, doggedly, excitedly, intrepidly, markedly, morbidly, rapidly, reportedly, ruggedly, solidly, splendidly, stupidly, supposedly, timidly, unashamedly, vividly
Avowedly sounds like:
abbatiello, abdalla, abdallah, abdel, abdella, abdollah, abdul, abdulla, abdullah, aptly, avdel, avidly, avital