offend与insult这两个动词均含“得罪或激怒某人”之意。

offend : 普通用词，指一般地伤害他人感情，使其不愉快。

• They'll be offended if you don't go to their wedding.
  你若不参加他们的婚礼，他们会生气的。
• Neil did not mean to offend anybody with his joke.
  尼尔开那个玩笑并非想冒犯谁。
• A TV interviewer must be careful not to offend.
  电视采访者必须小心别得罪人。

insult : 语气强，指肆无忌惮地侮辱，使其难堪或羞愧。

• I have never been so insulted in my life!
  我一生中从未被如此侮辱过！
• She felt insulted by the low offer.
  那么低的出价使她觉得受到了侮辱。