Show Section Only If Post Present

I am developing a theme for a news website and I wanted to have a section above the main blog loop that would show a breaking story if a post is placed in that certain category.

How would I go about doing this? I know how to write a query to pull from that post category but I don't want the section including Breaking News title to populate unless a post is present within that section. What would be the cleanest and easiest solution for this?

Thank you.