The word "unadroitly" implies clumsiness, ineptitude, or a lack of skill. Therefore, its antonyms would be words that carry the opposite meaning. Synonyms of "unadroitly" could include terms like deftly, skillfully, adroitly, and smoothly. Another possible antonym might be proficiently, indicating a high level of proficiency or mastery. On the other hand, inelegantly, awkwardly, bunglingly, and incompetently could be considered opposites of "unadroitly" as these terms typify the opposite of what "unadroitly" connotes. Regardless, it's essential to choose your words wisely, as one person's praise may be another's criticism.