Syllable division derived from spelling — this word is not in the pronouncing dictionary, so no phonetic transcription is shown rather than a guessed one.
insensitively is an adverb meaning "in an insensitive manner". It carries one recorded sense.
in an insensitive manner
“the police officer questioned the woman rather insensitively about the attack”
Definitions, synonyms and semantic relations for insensitively come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.