Opposite words for obedient :
balky, mischievous, rebel, fractious, obdurate, disobedient, willful, obstinate, contrary, recalcitrant, intractable, noncompliant, naughty, perverse, defiant, headstrong, unruly, ungovernable, insubordinate, determined, opinionated, wilful, rebellious, dogged, bad, peevish, wild, mulish, unmanageable, rude, incompliant, self-willed, untoward, undisciplined, resistant, unyielding, restive, refractory, ill-bred, disorderly, nonconformist, dissident, errant, wayward, uncontrollable, misbehaving, hardheaded, unamenable, insurgent, obstreperous, impolite, froward, inflexible, recusant, impudent, mutinous, firm, stubborn, insolent, disrespectful, resolute, contumacious, ill-mannered, pigheaded.
Obedient to his mandate, they continued to preserve an ominously peaceful attitude towards the settlers, who, but for a knowledge to the contrary, might have comforted themselves with a belief that the red men had left the bay. "The White Squaw", Mayne Reid.
You see, they usually are very obedient, and the first thing their mother teaches them is to keep perfectly still when she leaves them. "The-Burgess-Animal-Book-for-Children", Burgess, Thornton W. (Thornton Waldo).
There is the sense that he fulfils himself then only when he is obedient to the good. "Edward Caldwell Moore Outline of the History of Christian Thought Since Kant", Edward Moore.
She was to be good and obedient, to go often to Church, and to be guided in all her future acts by the advice of St. Margaret and St. Catherine who had been chosen to be her counsellors. "Ten Girls from History", Kate Dickinson Sweetser.