HEMPSTEAD - A female New York City teacher from Bay Shore has been charged with rape for allegedly having sex with a 16-year-old male student.During the court proceedings today, prosecutors said Tara Driscoll has been battling alcoholism and recently completed a stint in a rehabilitation facility. Prosecutors also said they had video and photographic proof of the alleged sexual encounter that investigators say happened at the Capri Motel in Lynbrook March 19.A source close to the investigation says the allegations against Driscoll came to light when the victim?s mother discovered what allegedly happened and notified police. Driscoll pleaded not guilty to third-degree rape and a criminal sexual act, and was released on $10,000 bail.