Don’t call him Father Jim just yet.

Former New Jersey Gov. Jim McGreevey — who shocked the nation in 2004 when he announced he was a “gay American” and stepped down from office — has been denied his bid to join the priesthood of the Episcopal Church, The Post has learned.

Church leaders, who have long embraced gay parishioners and clergy, were bothered by McGreevey’s bitter divorce, sources told The Post.

“It was not being gay but for being a jackass — [McGreevey] didn’t come out of the whole divorce looking good,” said a source with the Episcopal Diocese of Newark.

Some leaders also were wary of McGreevey’s sudden embrace of their faith after his scandal and feared the church was being used, the source added.

Full story: Heaven can wait: McGreevey priest bid is rejected