Removing Post From Category At a Later Time

I’m wondering if there’s a way to set a time that a certain post should be removed from a category. It’s similar but kind of the reverse of setting the time for a post to appear.

To explain it more in detail, I have a “featured” category which displays my last 5 posts. When a post is in the featured category they are not displayed anywhere else on the page. However, if I were to create a post and set it to be displayed an hour from now in the “featured” category, the last post chronologically would then be the 6th post and would not be displayed in the featured category. The problem is, that since that post is technically still listed as in the “featured” category, it will still not be displayed anywhere else on the page.

So what I need is, for a way to have it that I can set the time for a post to be removed from a specific category.

Hoping someone can help, or perhaps point me to a plugin that can accomplish this.

Thanks.