Free of worldliness. Yes, more precisely free of corruption.
Here is what Wikipedia.org had to say regarding why the Church implemented the policy:
“...a large number of the clergy, not only priests but bishops, openly took wives and begot children to whom they transmitted their benefices...”
Source: Wikipedia.org Heading: Clerical Celibacy
Yes. The clergy were rife with corruption. Worldly. They were transferring Church properties to their families, building fiefdoms like any of the landed gentry. The Church struggled against this for centuries. That’s why there always had to be reformer saints, always. (e.g. the Hildebrandian reform.)