The former priest received a standing ovation and told several jokes, quipping at one point that "my stuff is in storage." He didn't directly address his split with the church.
"The spirit of God has been with me," he said. "And I'm going to tell you something: God is the only one we follow."
He also said church was about seeking God, not people, and added: "Church is about forgiveness."
Cutie has said his decision to switch was made over time, not since the photos in a Spanish-language magazine rocked South Florida's Spanish-speaking community, where he was known for his good looks and as the host of a TV show on relationships.
It will take Cutie at least a year to be certified as an Episcopal priest.
His switch has drawn harsh words from Archbishop John Favalora, who said he met with Cutie after the photos were published and the priest didn't mention changing churches. Favalora has admonished Cutie and Episcopal leaders in Miami.
Cutie's girlfriend has been identified in local media as 35-year-old Ruhama Buni Canellis. He has not said if he plans to marry her, but noted as he became an Episcopalian that he "has seen the ways that many of my brothers serve God as married men."
Cutie headed the archdiocese's Radio Paz and Radio Peace broadcasts, heard throughout the Americas and in Spain.
The Cuban-American priest was born in Puerto Rico and previously hosted shows on Telemundo, the second-largest Spanish-language network in the U.S. and the Western Hemisphere. He is also a syndicated Spanish-language columnist and author of the book "Real Life, Real Love: 7 Paths to a Strong, Lasting Relationship."
Ignacio Bolivar, 65, said he thought Cutie was intensely conflicted about his relationship with the woman and his views on marriage.
"I think he tried to tell the Catholic Church what he wanted to do. That he wanted to get married," Bolivar said.
Bolivar also joked about Cutie's talents as a speaker and good looks, in light of his switch: "The Catholic Church has to put ugly priests up there."
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