The BBC reports a Church tribunal found that Rev Keith Hanson, a mission development vicar of the Maltby Team Ministry and of Thurcroft St Simon and St Jude in South Yorkshire, had sex with the woman three times.
It was revealed in a hearing by the Bishop's Disciplinary Tribunal for the Diocese of Sheffield that Hanson had sent the woman explicit text messages after they met in 2017.
He had been communicating with her via e-mail, Facebook and WhatsApp before visiting her house to have intimate relations with her.
The tribunal heard that in the messages he sent her, he made references to be "isolated and lonely".
It also heard that when he ended the relationship with the woman, he told her no one would believe her if she reported it because of her mental history.
Hanson did not appear at the tribunal ruling, claiming he was "mentally unwell" but gave evidence of prescriptions and data sheets describing the risks of sexual dysfunction.
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