Will you allow me to have a drink from one of your jugs?

你能让我从你的罐子里喝点水吗？

youdao

Would you allow me to try to sell you on an alternate plan?

我可以向你推销另一种方案吗？

youdao

If you allow me to test you.

如果你允许我测试你的话。

youdao

This will allow me to project images in class and for you to look at them later at home.

这样我可以放映一些图片,给你们在课上和回家后看。

耶鲁公开课 - 现代诗歌课程节选

You say "Let me" to say "Please, allow me.", "Please allow me to do this."

你用“Let me”来表达“请允许我”，“请允许我做这件事。”，

Let me 课堂 - SpeakingMax英语口语达人

So allow me to put this up on the screen now, which you're now qualified to understand.

所以请允许我把这个放到屏幕上，现在你们可以理解了。

哈佛公开课 - 计算机科学课程节选

Or will you allow me to go straight, without any circumlocution, to our little agenda?

NEWYORKER: Heirs

Will you allow me to remove my tie as well?

NEWYORKER: Heirs

And I hope that you will allow me to single out for special mention today one of your most distinguished Senators, known in every continent and a great friend.

BBC: In full: Brown's speech to Congress