Does the test execution linked to a particular story affects the status of the story?

[Anuj Mittal]

For example, assume Story # 100 was completed in the Sprint 2.  PO marked this story as “Done”.   Later, SAT engineer writes test case and creates a schedule in Sprint 3.  During test sprint execution in Sprint 3, assume one test case failed.  

What is the status of the Story # 100?   Does it mean the story # 100 status will change since it was marked “Done” in the previous sprint?