When something is done brusquely it is done in a flat out, no-nonsense or crude manner. If you try to talk a teacher into changing your grade from a “C” to an “A,” your request will probably be dismissed brusquely.
Brusquely often signifies rudeness; it implies that the action is a little too blunt, direct, or curt. This adverb is basically the opposite of tactfully or gently. A political candidate might brusquely reject the position of his or her opponent, or a baseball coach might brusquely challenge an umpire’s call.