Read the dictionary definition of offensively. All definitions for this word.
1. in an aggressive manner
1. `In this crisis, we must act offensively,' the President said
2. the admiral intends to act offensively in the Mediterranean
2. in an obnoxious manner
1. he said so in one of his more offensively intellectually arrogant sentences
3. in an unpleasantly offensive manner
1. he smelled offensively unwashed