obstinately

doggedly, stubbornly, tenaciously, pertinaciously, mulishly, stiff-neckedly, pigheadedly, bullheadedly, like a bull, persistently, unwaveringly, determinedly, unyieldingly, fixedly, resolutely, unreasonably, unreasoningly, perversely, stolidly, resistantly, intractably, inflexibly, headstrongly, willfully, recalcitrantly, obdurately, steadfastly, staunchly, unflinchingly, resolvedly, opinionatedly, immovably, unimpressibly, unconquerably, contumaciously, indomitably, unrelentingly, unamenably, stubbornly as a mule, like a jackass; see also firmly 2.

Antonyms obediently*, docilely, graciously.