The term 'obnoxious one' can refer to a variety of people who are unpleasant or annoying. The crossword solutions for this term include 'PEST, ' 'BOOR, ' 'JERK, ' 'NUISANCE, ' 'BOZO, ' and 'CREEP.' A PEST is someone who is constantly bothering or annoying others. A BOOR is someone who is rude and insensitive. A JERK is someone who behaves in an obnoxious or offensive manner. A NUISANCE is someone who is a bother or annoyance. A BOZO is someone who is foolish or clownish. Finally, a CREEP is someone who is unpleasant or repulsive. All of these words describe someone who is unpleasant or annoying in some way.