Is a wife's going to her job considered an implicit divorce, and what is the ruling on that, knowing that the husband did not intend divorce by his statement, "Choose either me or the job"?

Giving the wife the choice between divorce and staying is a metaphorical expression of divorce. It does not constitute a divorce unless the husband intends it. So, if the husband did not intend divorce by his words, and the wife did not choose divorce, then nothing occurs, and the wife remains under the husband's marital bond. It is advised to avoid such expressions.