In Episode 11 of She the People Season 1, Antoinette Dunkerson faces significant hurdles including dealing with a sexist and condescending governor, navigating an unwelcoming political environment, and managing the pressures of her family adjusting to public life. She also confronts political conflicts such as the contentious pipeline deal and the governor's attempts to undermine her voice, culminating in a tense press conference and a dramatic health emergency involving Governor Harper.

In Episode 11, the relationship between Antoinette and Governor Harper is marked by tension and conflict. Governor Harper exhibits sexist and dismissive behavior towards Antoinette, attempting to undermine her at public events. Their divided opinions on the pipeline deal lead to confusion in the media. The episode ends on a cliffhanger with Governor Harper suffering a health emergency after a heated confrontation with Antoinette, highlighting the fraught dynamic between them.

Antoinette's family plays a significant role in Episode 11, as they must adjust to the challenges of being in the public eye due to her political position. The episode touches on the impact of her career on her family dynamics, including dealing with viral moments involving her daughter and supporting Antoinette through political and personal crises.

A central political issue in Episode 11 is the pipeline deal, which causes division between Antoinette and Governor Harper. Antoinette faces pressure from pipeline activists and must navigate the complexities of this contentious issue while trying to assert her position and influence within a male-dominated political environment.

Episode 11 depicts the challenges of breaking new ground through Antoinette's experiences with sexism, resistance from her white male colleagues, and the struggle to have her voice heard in the governor's office. The episode highlights the personal and professional obstacles she faces as Mississippi's first Black lieutenant governor, including public scrutiny and political pushback.