What's the noun for insubordinately? Here's the word you're looking for.
insubordination
The quality or state of being insubordinate; disobedience to lawful authority; specifically, an employee's failure or refusal to comply with a request or an assignment given by his/her supervisor.
“If anyone failed to attend the gemot thrice after being summoned, he was to pay the king a fine for his insubordination.”
“I don't need any more of your insubordination, young man, and I certainly don't need your sass.”
“It would be a mistake to conclude from what has been said, however, that insubordination of the law is justified if it is insubordination in the name of higher principles.”