(adv)
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 possiblehavoc she mighthave caused"