Priests also take a vow of chastity, in people’s minds they’re supposed to be above sexual desire; and they have an extra aura of authority compared to the average teacher or summer camp instructor. Both of these things makes it harder for children and parents to question them.

I would imagine that the vow of chastity thing also attracts some paedophiles trying to fight it. Some of them will then inevitably give in to the temptation if an opportunity arises.