Cabeelibob:
I thought that in the Western Church, all those ordained priests must be celibate.
There are plenty of married priests in the Western Church, but they’re usually an exception, such as they were married Anglican ministers who converted, and the Church allowed them to be ordained at that time. We do have them, but it’s incredibly common.
As to your original question, that’s largely
metaphorical; the priest has a vocation that demands his entire life’s attention (more or less), and as such, promising celibacy is a prudent logistical discipline. You can say he’s married to the Church or God, but not literally.