If you're talking about a physical object:
* Master: This implies the opposite of being controlled, instead having control.
* Original: This emphasizes authenticity and lack of manipulation.
* Real person: This directly contrasts the artificial nature of a puppet.
If you're talking about someone being controlled:
* Independent: This emphasizes freedom from outside influence.
* Autonomous: This suggests self-governance and decision-making.
* Free: This emphasizes lack of control.
If you're talking about a form of entertainment:
* Live performance: This suggests a real person performing, not a puppet.
* Original work: This emphasizes a creation not based on a pre-existing script.
* Realistic: This contrasts the stylized nature of puppetry.
The best antonym will depend on the specific meaning of "puppet" in your context.