noun

boldness or overfamiliarity in manner.

I hope that my forwardness hasn’t offended you

boldness,brashness,brazenness,barefacedness,shamelessness,immodesty,audacity,effrontery,daring,presumption,familiarity,overfamiliarity,irreverence,over-assertiveness,overconfidence,overweening nature,aggressiveness,aggression,pertness,impudence,impertinence,cheek,insolence,neck,brass neck,face,cockiness,freshness