a stubborn and willful child
willful
/ˈwil-fəl/
adjective
obstinately and often perversely self-willed
done deliberately : intentional
unruly ungovernable intractable refractory recalcitrant willful headstrong mean not submissive to government or control. unruly implies lack of discipline or incapacity for discipline and often connotes waywardness or turbulence of behavior. ungovernable implies either an escape from control or guidance or a state of being unsubdued and incapable of controlling oneself or being controlled by others.