Meloni has described herself in speeches as a Christian and has publicly expressed her admiration for Pope St. John Paul II.
The cardinal said their approach is not pastoral and ignores Catholic teaching.
The Diocese of Fontibón, which served the chapel, was forced to remove all liturgical furnishings and symbols and vacate the premises.
Bishop Pfeifer also called on the faithful to pray to the Holy Spirit and encourage all pro-lifers — beginning with the bishops — to show more concern for women struggling with pregnancy problems.
Americans will make their decision on candidates — and these five ballot initiatives — on Nov. 8.
The 56-year-old cardinal, originally from the Portuguese island of Madeira, is an expert in the relationship between literature and theology, according to the Vatican.