Madam Driver is a coming-of-age tale centered around Devika Dixit (Kitu Gidwani), a 55-year-old woman who defies societal norms by learning to drive. Despite facing deeply ingrained stereotypes, Devika takes the help of Hassan (Ankit Siwach), a reluctant driving instructor with a pregnant wife, and tries his best to earn money by trading. During their driving lessons, Devika strikes a deal with Hassan which is the latter will help the former overcome her driving fears while the former will help him learn the tricks of trading.