Bishop Michael Barber has said he has "no intention of monitoring an individual's personal life. What one does in one's private life is between them and God."
Catholic schools across the state and country are struggling. The Newark archdiocese alone closed four of its 70 elementary schools this year.
Founded in 1899 by the Missionary Sisters of the Sacred Heart of Jesus, the college preparatory Mother Cabrini High School for young women in the Washington Heights section of Manhattan is slated to close with the end of the current academic year.