Check your state's regulations.
Many states, including New York, have provisions allowing victims of domestic violence to keep their voter registration information (and other normally public information) confidential. They may also vote by absentee ballot rather than going to the polls. Check your state’s Board of Elections for the most-up-to-date information. For details of New York’s provisions for victims of domestic violence, see http://www.elections.ny.gov/FAQ.html N.Y. Election Law (5-508) 11-306)