It is possible that being a feminist might hurt your career, especially if you voice your opinions in the workplace or if you choose to work in a predominately male dominated field.Examples of predominately male dominated fields include investment banking, commercial litigation, personal finance managers, and information security analysts. In general, the workplace is no place for politics and feminism is considered a political movement.
Discussions of any political topics in the workplace are not appropriate and may very well hurt your career. Save discussions of feminism related topics for lunch or dinner with friends and colleagues that share your interests