In another age (not that long ago) the suspicion was the parish priest was busy with the women in his care while the men were away at work or in the fields. You know, the women always rushing off to early morning mass, confession, novenas, etc., etc. The men folk might think something was up. Oh, simpler times.
There have been a few reports in recent years about priests and adult women, but they don’t make the national news. It’s not illegal, and there’s not much opportunity for hugh payoffs.