 After unsuccessfully running for public office in Detroit in 1929—being one of the first women to do so—Gomon began working for politician Frank Murphy in 1930 as an assistant on his mayoral campaign.After he was elected, Gomon became Murphy's executive secretary; he appointed her to the position of chairwoman on the Mayor's Unemployment Committee and she assisted him with the creation of several New Deal programs.Gomon became the director of the Detroit Housing Commission in 1933, where she supervised the construction of the city's first public housing until she was pressured to leave in 1938.