1) Abstractedly 2) Callously 3) Crassly 4) Cruelly 5) Inconsiderately 6) Thoughtlessly 7) Unsympathetically 1) Awkwardly 2) Brusquely 3) Clumsily 4) Crassly 5) Gruffly 6) In an insensitive manner 7) Indelicately 8) Ridiculously 9) Rudely 10) Stupidly 11) Tactlessly 12) Unthinkingly 
[adv] - in an insensitive manner
adverb in an insensitive manner; `the police officer questioned the woman rather insensitively about the attack`