The word 'extension' means to be given more time, to be allowed to have the chance of a postponed time limit or closing time. This means that a person is being given extra time to make final completion of any work.
In a similar case, Evangelina has asked for an extension to finish the project she's been given. With the word "not finished", we can know that the extension is related to the unfinished project.
Thus, the words "not finished" give us a clue about what the word extension means.
The poem shows the evil that can come with the
unknown of the supernatural, ultimately leading to the man’s demise, killing
him in the end because of his actions.