The head bishop of the United Methodist Church in New York on Monday committed to ending church trials in his region for ministers who perform same sex-marriages, essentially freeing them to conduct a ceremony still prohibited under his denomination’s laws.

As the first sitting United Methodist bishop to publicly make such a pledge, Bishop Martin D. McLee instantly became a leading figure in a decades-old movement within the United Methodist Church, the country’s second-largest Protestant denomination, to extend equal recognition and rights to gay and lesbian members. Though Bishop McLee said that he hoped his approach would heal the church’s deep divisions over homosexuality, more conservative Methodists warned that his actions would push the denomination closer to an irrevocable split.

Bishop McLee’s pledge came as part of a resolution announced Monday with the Rev. Dr. Thomas W. Ogletree, a Methodist minister and retired dean of Yale Divinity School who had faced a church trial after he officiated the wedding of his gay son in 2012. The trial had been scheduled to begin on Monday.

Instead, Bishop McLee, who oversees about 460 churches in lower New York State and Connecticut, agreed to drop all charges against Dr. Ogletree; in exchange, he asked only that Dr. Ogletree participate in a dialogue about the church and its stance on matters of sexuality. Promoting dialogue, the bishop said, could be a model for other United Methodist bishops to follow.