Wiktionary
insensitively
adv. In an insensitive manner.
WordNet
insensitively
adv. in an insensitive manner; "the police officer questioned the woman rather insensitively about the attack" [ant: sensitively]
Usage examples of "insensitively".
I wrote to Albus, describing, perhaps insensitively, the wonders of my journey, from narrow escapes from chimaeras in Greece to the experiments of the Egyptian alchemists.
They bluster one minute, insensitively ignoring civilized courtesies, then the next, show an inordinate amount of insight and caring.