CONCORD, N.H. —A woman who served a 10-year sentence in U.S. prison for lying about her role in the 1994 Rwandan genocide to obtain American citizenship, and then lost her bid for a new trial, has been deported to the East African nation and is likely to face prosecution there. Beatrice Munyenyezi, who a U.S. judge said “was actively involved” in the killing of Tutsis in Rwanda, was convicted and sentenced in 2013 in New Hampshire. It was her second trial; the first jury could not reach a verdict. Munyenyezi served a 10-year sentence in Alabama and had faced deportation. She lost her latest court battle in March, when the 1st U.S. Circuit Court of Appeals upheld a federal district judge’s rejection of her petition challenging how the jury was instructed during her trial in federal court in New Hampshire. Her lawyer, Richard Guerriero, confirmed in an email Saturday that …