WASHINGTON — The Supreme Court refused on Thursday to intercede in a dispute between Philadelphia and a Catholic foster care agency that does not work with same-sex couples.

The city imposed a freeze on placements with the agency, Catholic Social Services, after an article in March in The Philadelphia Inquirer reported on its policy against placing children with same-sex couples. The agency and several foster parents sued the city in May, saying the move had violated their First Amendment rights to religious freedom and free speech.

A federal judge ruled against the agency in July, and an appeals court refused to order that placements be resumed while the appeal moves forward.

In asking the Supreme Court to step in, the agency said it could face dire consequences. “Without intervention,” the agency’s emergency application said, “the city’s intake freeze will force Catholic’s foster care program to close.”