Syllable division derived from spelling — this word is not in the pronouncing dictionary, so no phonetic transcription is shown rather than a guessed one.
unwaveringly is an adverb meaning "with resolute determination". It carries one recorded sense.
with resolute determination
“we firmly believed it”
“you must stand firm”
Definitions, synonyms and semantic relations for unwaveringly come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.