Well, first of all, that's not TDD. TDD is Test-Driven Development. In your scenario, you wrote the test after the code in question. In TDD, the whole point is to write the test before the code in question.
So the value in your scenario is only insofar as the test is a useful way to quickly exercise the code in question. For example, if we have some sort of customer-facing website and there is a bug in how they save their user profile, it will be easier to test fixes to the problem if we don't have to go through the full flow of logging into the site, navigating to the profile, making edits, and clicking save all the time. But having an XUnit-style framework for running that test is not necessary for that.