"Leads by the nose" is an idiom that refers to someone manipulating or controlling another person with ease. The antonyms for the phrase could include terms like "independent," "uninfluenced," or "self-directed." Other possible antonyms could include "freely chooses," "self-governing," or "self-assertive." Using these terms would imply that a person is not being controlled or manipulated but is making their own decisions and is not easily influenced by others. In today's world, where independence and individuality are often celebrated, being led by the nose can be seen as a negative attribute, so using antonyms that imply free will and autonomy would be appropriate.