If President Obama decides he needs a new diplomatic team, that is his prerogative.
He regards judicial review, the prerogative of the judiciary to deem congressional acts unconstitutional, as a power grab.
It is the prerogative of a viscount or a baron to make a person feel small, and of a baronet to extinguish him.
"special right or privilege granted to someone," late 14c. (in Anglo-Latin from late 13c.), from Old French prerogative (14c.), Medieval Latin prerogativa "special right," from Latin praerogativa "prerogative, previous choice or election," originally (with tribus, centuria) "unit of 100 voters who by lot voted first in the Roman comita," noun use of fem. of praerogativus (adj.) "chosen to vote first," from praerogere "ask before others," from prae- "before" (see pre-) + rogare "to ask" (see rogation).