歉意的英文：
apology
regret

参考例句：

We apologise for the late departure of this flight.
本航班延误离境，谨致歉意。

He spoke in an apologetic voice
他说话充满歉意。

She blushed a shy apology.
她羞愧地表示了歉意。

Used in polite expressions of refusal,apology,etc
用以表示拒绝、歉意等的客气说法

She kept me waiting without the slightest compunction
她使我久候而丝毫没有歉意。

We apologize for the temporary inconvenience caused by these building works.
对于建筑施工造成的短期不便，我们谨表歉意。

She apologized profusely to me for not answering prompt.
她因没有立即回答向我大表歉意。

I beg, sir, that you will offer him my sincerest apologies.
我请求，先生，您向他表示我最真诚的歉意。

His face habitually held an expression which was mild and inoffensive, almost apologetic
他的脸上经常带着温和的、宽厚的、类乎歉意的表情。

Please accept my apology for not going to your party.
我没来参加您的联欢会，请接受我的歉意。

apology是什么意思：
n. 道歉；谢罪；辩护

apologize for oneself
为自已解辩或辩护

He apologized for himself.
他为自己辩护。

I trust for his apology.
我期待他的道歉。

His reply is in effect an apology.
他的答复事实上是一种道歉。

She prefaced her talk with an apology/by apologizing for being late
她先为迟到表示歉意,然後开始讲话

regret是什么意思：
n. 遗憾，后悔
v. 为...感到遗憾；表示抱歉

regret rushed decisions
对贸然做出的决定感到懊悔

It is the order of nature, and regret is useless.
这是自然的法则，悲叹惋惜是无用的。

I regret my mistake.
我为自己所犯错误感到懊悔。

He felt a flicker of regret.
他突然闪现一丝悔意。

He regretted his roughness.
他对自己的粗鲁感到后悔。