Nouns

(n)discourtesy, offense, offence, offensive activitya lack of politeness; a failure to show regard for others; wounding the feelings of others
(n)umbrage, offense, offencea feeling of anger caused by being offended“he took offence at my question”
(n)offense, offencea transgression that constitutes a violation of what is judged to be right
(n)offense, offencethe team that has the ball (or puck) and is trying to score
(n)offense, offence, offensivethe action of attacking an enemy