Cathedral High School in Indianapolis released an open letter on Sunday to its “Catholic family” outlining its “agonizing decision” over the teacher who is in a same-sex marriage not approved by the diocese.

The letter insists the school had no option because of the strict mandate set by Archbishop Charles Thompson — one that last week saw neighboring Brebeuf Jesuit Preparatory School stripped of its Catholic identity for refusing to accept the ruling to fire a gay teacher there.

“It is Archbishop Thompson’s responsibility to oversee faith and morals as related to Catholic identity within the Archdiocese of Indianapolis,” stated the letter, signed by Cathedral’s board Chairman Matt Cohoat and President Rob Bridges.