I am indeed very sorry for what I said/did，but believe I had no intention to insult you.
对于我说的话/做过的事，我确实感到很抱歉。但请相信，我并非要故意侮辱你。
Let''s not put a little misunderstanding between us.
可别让我们之间存在哪怕一点点的误解。
Please forgive me for a stupid choice of words.
请原谅我的用词不当。
I feel badly sorry about it and want you to know what happened.
我为此感到非常内疚，所以想让你知道实情。
Please accept my apologies for my oversight.
请原谅我的疏忽。
Please allow me to say sorry again.
请允许我再次表示歉意。
I sincerely hope you can accept my apologies and understand my situation.
我真心希望你能理解我的处境，并接受我的道歉。
Once again，I''m sorry for any inconvenience caused.
再一次，我为所有的不便表示歉意。
3.必背经典范文
Dear professor Jackson：
I am indeed very sorry that I missed the examination you gave on Moby-Dick last Wednesday. I feel badly about it and want you to know what happened.
On my way to class that day，I had a flat tire，and I had to go with the mechanic when he repaired it. It took me more than one hour to get it done. A copy of the bill is enclosed.
I sincerely hope you can accept my apologies and understand my situation. I would appreciate your allowing me to take a make up examination. I will come to your office during your office hour on Monday to discuss this possibility with you. Once again，I''m sorry fro any inconvenience caused.
