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The employee was reprimanded for their insubordinate behavior towards their supervisor.
The noun form of the adjective insubordinate is insubordination.
The employee was insubordinate when they refused to follow their manager's instructions.
That is the correct spelling of the adjective "insubordinate" (disobedient, rebellious).
No, someone who is insubordinate is a person refusing or failing to obey.