Are you creating a retrospective story for this defect to be associated with?
Yes. It is also worth considering to make sure everyone agrees with this story.
If this is a hassle-free, but annoying interface, then you are really changing the workflow, and you need to remember it as the right story.
If there is an error, then there are unit tests that should have found the error (but not). This is not like your situation, but as a rule, incomplete unit tests do not detect an error. It is also very important to extend unit tests (after fixing the history).
Do you rewrite your defect as a story and change the formatting so that it looks like a story?
Not really. A defect is just a defect, regardless of whether the story exists.
Defects disappear. There is no story.
If you create a story, do you get points to correct the defect (through the points of the story)?
Why not?
Edit The problem with story points is difficult. Ideally, points track work done and value created. History == effort == points. But problems arise in reuse processing, release and recycling.
You have several unrelated issues: effort, quality, and value. Points can track one of them. He cannot track others.
If you think that speed should reflect effort, then you cannot take points because of errors or changes in requirements. It does not track the created value and cannot be used for this.
If you think that speed should keep track of the value, then you should remove points. This does not track efforts because the work was completed, but the loan for it was deleted.
Recycling is complicated. Errors and changes in requirements are one and the same thing; they are redoing. You have a whole range of candidates.
"Simple" errors when the implementation is incorrect, but the story is "correct." Ideally, this does not take into account speed. Right?
Errors of the "incomplete history", where the implementation is correct, but the history omitted some important (and technical) details. Hm. Who's guilty? What speed measurement should be punished for this?
What are we measuring? Effort? Work is done. Cost? Value has not been created.
Errors of the “wrong story”, where the implementation is correct, but the story was a bad idea from the very beginning, and no one caught it. This can be called a "lying user script." It happens. Ideally, this applies to speed. Users lied. But how can you distinguish this from any other alteration? What is a "rule"?
"History bugs fixed," where the implementation is correct, and the story was right. But the general context has changed, and history must change. It is simply an “improvement” or “adaptation” and looks like a new job. Except, of course, this is not a complete job, is it? It might just be customizing existing code, so you don't want to overestimate this with the full value created.
What are we measuring? Effort? Some were made, but not so much. Cost? Value has been created.
Bottom line . Glasses are a political weapon and do not measure very much. Either effort or value, but not both. And not very good.