There's a concept in the church called In persona Christi. Basically what that means is that the priest acts in place of Christ during certain sacraments such as communion and that the sacrament is valid regardless of how good the celebrant happens to be.
My family is kind of in the same boat as yours - the priest who officiated at my grandparents wedding abused scores of young men during the 30s, 40s, and 50s.
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