Glenda Castillo vigorously denied the accusations against her cousin.
Police say 30-year-old Juan Carlos Amaya raped a 12-year-old girl in their church's youth group.
A member of the Iglesia Evangelica church told reporters to leave after the arrest of Amaya. Investigators say he was in a position of power, planning spiritual events and even counseling teens.
"He obviously gained her trust and then took advantage of it," one source said.
Detectives say Amaya brought the young girl to his house on Davidson Avenue, where allegedly forced her to have sex.
One man who lived with Amaya says he was shocked to learn the news.
Investigators say the rape took place in May, but it took months before the victim had the courage to come forward.