Conservative U.S. Supreme Court justices on Wednesday appeared sympathetic to religious rights claims against Philadelphia brought by a Catholic Church-affiliated agency after the city refused to use the group in its foster care program because it would not accept same-sex couples as prospective foster parents. The almost two-hour argument via teleconference was the first major case to be heard by President Donald Trump’s appointee Amy Coney Barrett, who was confirmed to the court last week and participated in cases argued on Monday and Tuesday. The case pits LGBT rights against religious rights. The nine justices heard an appeal by Catholic Social Services, part of the Archdiocese of Philadelphia, which accused the city of violating the U.S. Constitution’s First Amendment rights of freedom of speech and religion. Catholic Social Services is backed by the Trump administration in the case.