[s1e4] - Emancipation

: Carter eventually fights for her own freedom and the rights of the Simarkan women, culminating in a duel that forces the culture to reconsider its oppressive laws.

If your request was regarding the historical concept of emancipation as it might relate to the show's broader themes of Black history and reparations (which are heavily featured in later seasons like S3E4, "The Big Payback" ): Emancipation Proclamation: An Introduction [S1E4] Emancipation

This episode centers on a cultural clash regarding gender equality on the planet Simarka. : Carter eventually fights for her own freedom