Children are not usually allowed in, but I'm prepared to make an exception in this case.

儿童一般不允许入内，不过这次我可以破例。

《牛津词典》

I know it's uncommon to offer a high school student this volunteer job, but I hope that you can make an exception for me, and I'll prove myself.

我知道让一个高中生做这种志愿工作并不常见，但我希望您能为我破例一次，我会证明自己的。

youdao

Without exception, everyone has to make choices in life, whether they concern school, career, or love.

毫无例外，每个人在一生中都要多次做出选择 ——无论是涉及到学业、职业还是爱情。

youdao

In the case of Plato, I'm going to make an exception.

对于柏拉图这块,我会做特别对待

耶鲁公开课 - 死亡课程节选

Mr. Steinbrenner is willing to make one exception to his "no-extensions" policy he remains intent on signing star second baseman Robinson Cano to a long-term contract.

WSJ: Steinbrenner Likes What He Sees

Thank You For A Lifetime will be available over the counter only at Woolworths, who have decided to make an exception to their recent decision not to stock singles.

BBC: Sir Cliff bids for chart history

The investors seem willing to make an exception for assertive managers such as Mr Welch.

ECONOMIST: Honeywell and AlliedSignal