A duel for honor yes but my honor was never insulted. So why should I duel to the death for nothing?
You insulted a nobleman. That nobleman demanded a duel. By refusing to duel, yet refusing to apologize, you imply that your words mean nothing. By accepting the duel, you would gain recognition: people would know that when you insult someone, you really mean it, and are ready to back your words with action. By refusing to duel, people can safely throw you to the bin of history. They know you bark but won't bite.
