Odoms rhymes with:
modems, adam's, adams, adams', addams, addendums, condoms, fiefdoms, freedom's, freedoms, kingdom's, kingdoms, mcadams, memorandums, modems, needham's, oldham's, referendums, saddam's, sedums, sheikdoms, tandem's, wadhams
Odoms sounds like:
o'donoghue, odonoghue, oetting, othman's, otten's, ottens, otting, outdoing, outing, outings, outwitting