> I'm not sure about this but I assume serfs and village folks didn't really interact with monks and elites.

This was actually a recurring complaint among the monks, and several groups (called "Orders") were created whose job it was to interface with the common man. A person who did so was called a "Friar."

I highly recommend the book Medieval Christianity by Kevin Madigan (Yale University Press, 2015) if you're interested in this topic.