Un-swayable means someone or something that cannot be influenced or changed. Its antonyms would be swayable, persuadable, or malleable, all of which describe someone or something that can be altered, influenced, or changed. Swayable refers to a person who is easily influenced or convinced about something. Persuadable refers to someone who is open to persuasion and can be persuaded or convinced to change their mind about something. Malleable refers to something that can be shaped, reformed, or reshaped, such as a metal or plastic. Thus, the antonyms of un-swayable describe individuals or materials that can be altered or influenced to take a different direction.