Syllable division derived from spelling — this word is not in the pronouncing dictionary, so no phonetic transcription is shown rather than a guessed one.
unsympathising is an adjective meaning "not showing or expressing sympathy". It carries one recorded sense.
not showing or expressing sympathy
“an uncharitable and unsympathizing attitude”
Definitions, synonyms and semantic relations for unsympathising come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.