The definition of insubordinate is someone who is not submissive to authority or that is not following orders.
When you talk back to your boss and refuse to do what he has asked you to, this is an example of when you are insubordinate.
not submitting to authority; intractable, insolent, disobedient, etc.
Origin of insubordinatein- + subordinate
an insubordinate person
Not submissive to authority: has a history of insubordinate behavior.
insubordinate rebellious mutinous factious seditious
These adjectives mean in opposition to and usually in defiance of established authority. Insubordinate implies failure or refusal to recognize or submit to the authority of a superior: was fired for being insubordinate. Rebellious implies open defiance of authority or resistance to control: rebellious students demonstrating on campus. Mutinous pertains to revolt against constituted authority, especially that of a naval or military command: mutinous sailors defying the captain. Factious implies divisiveness, dissension, or disunity within a group or an organization: “The army has been embroiled in a standoff battle against a [hornets'] nest of factious groups” (Time). Seditious applies mainly to the treasonous stirring up of resistance against a government: rebels distributing seditious pamphlets.