Refusing to perform the task the employer directs an employee to do is insubordination, which nearly always legitimates the decision to terminate an employee who is not otherwise protected by contract or a collective bargaining agreement. The scenario you describe does not constitute wrongful termination under general principles of law.
No, this is nothing close to wrongful termination. Write the apology and learn from the mistake. Taking to writing an apology is a key step for you to internalize the requirement, form or no form
Generally, an employer may make various requirements of the employee so long as the employer does not behave in an illegal manner including behaviors recognized as discriminatory under law. And, absent contractual agreement to the contrary, employment is 'at will'. Wrongful termination generally refers to a discharge of an employee for reasons that are illegal in nature or for reasons that are violative of the employer's own company policies.
MINNEAPOLIS/ST. PAUL and outlying areas to ST CLOUD. Do seek legal counsel for your personal legal issues and needs. This post is not legal advice and does not create an attorney-client relationship. This post is to be considered general information which may or may not apply to your personal situation.
If you do not have a contract which specifies how discipline may occur, you are considered an "at will employee." That means you may be terminated for amy reason or no reason at all, except for termination based on a suspect classification protected b statute. In short, the answer is likely "yes" that they may terminate you for not doing as instructed,
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