Syllable division derived from spelling — this word is not in the pronouncing dictionary, so no phonetic transcription is shown rather than a guessed one.
sublimely is an adverb meaning "in a lofty and exalted manner". It carries 2 recorded senses.
in a lofty and exalted manner
“it is an enormous, fruit-packed wine, smelling sublimely of ripe blackcurrants”
to the maximum degree
“he was supremely confident”
“He seemed irritated at Edouard's questions but, apart from that, sublimely unconcerned”
“she remained sublimely oblivious to the possible havoc she might have caused”
Definitions, synonyms and semantic relations for sublimely come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.