Definitions:

1. in an aggressive manner adverb
   • `In this crisis, we must act offensively,' the President said
2. in an obnoxious manner adverb
   • They said so in one of their more offensively intellectually arrogant sentences.
3. in an unpleasantly offensive manner adverb
   • I smelled offensively unwashed.

Synonyms:

• aggressively
• objectionably
• obnoxiously