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What happens in this situation?
A young man, in order to please his parents, enters the seminary and eventually gets ordained, He went to the whole process and motions, A few years after his ordinations, his parents tragically died in a car accident. The man had a girlfriend from before his seminary days, he wants to leave the priesthood to marry this girl. What is the process?
This is not a real situation.
I am going to assume that the man wants to remain a Catholic in good standing.
The process is to go to his Bishop and request to be returned to the lay state. It is possible that the Bishop would send him on retreat or to take a sabatical to consider if he is sure of this desire to leave active ministry. Once the Bishop is convinced he is not rushing into this, he forwards the request to the Vatican. If the answer is "no", the priest returns to ministry. If the answer is "yes", it may or may not include dispensation of the promise to remain unmarried.