The island may have been settled by marauding brutes, but it is now the most feminist society on the planet, and with that one tantalizing fact, Sunday's episode of “The Wonder List” was born.

with that one tantalizing fact：介词短语表示原因。意为“因为有了那样一个诱人的事实”。

“指示代词+one+名词”：例如 that one person, that one thing; this one person, this one thing 等这样的表达，是很常见的。这个组合强调了“特指”和“唯一”。如果把其中的that/this或one删掉，意思就会变化很大。分解如下：

that fact：那个事实

one fact：一个事实

that one fact：那样一个事实

that one tantalizing fact：那样一个诱人的事实

又如：

And I urge you to be that one person.  我恳请你们成为那样的一个人。

Well, I know that one person that controlled the crime scene. 而且我知道有那样一个人控制着凶案现场。

No matter what else goes wrong around us, with that one person we're safe in our own paradise.  不管我们周围的环境出了什么问题，与那位心心相印的人在一起，我们都会觉得自己处在安全的天国。

This one person communicated the disease to the whole town . 这一个人就把这种病传染给了全镇的人。

But you've got to know this one thing. 但你要知道这一点。

And when I tell you what that one thing is, I hope you'll understand. 当我告诉你那件事是什么,我希望你能理解。