Step 1: Understand the word.
Recalcitrant describes someone who is stubbornly uncooperative or resistant to authority - unruly, rebellious, obstinate.
Step 2: Identify the antonym.
The opposite of being resistant to authority is being cooperative and compliant.
Step 3: Confirm.
Unruly, rebellious, and obstinate are synonyms of recalcitrant. Obedient - willingly following rules and authority - is the clear antonym.
\[ \boxed{\text{obedient}} \]