I've seen beardless priests, as well as ones with short hair. It doesn't make any difference to me. Personally, I'm much more concerned with his character than I am with facial hair. You can have priests who have short hair and no beard who can be very holy, and you can have some with hair halfway down their backs and a long beard who may not be holy at all. There are priests (mission priests for example) who have to work secular jobs in order to make enough money to support their families, so they can't have really long hair and beards.