Your brusqueness is likely to offend people sometimes, since brusqueness is a quality of treating others gruffly, or even rudely.
You might think of it as being straightforward, but if you're short and abrupt when you're dealing with other people, they're likely to see it as brusqueness and take a dislike to you. Brusqueness doesn't make you a bad person, it just makes you come across as curt and unfriendly. The root of both brusqueness and brusque is the Italian brusco, which means "sharp, tart, or rough."