Both Wolsey and More were married, though I am not sure More was ever formally ordained into the clergy. Nearly a century later, Cardinal Richelieu was also married and was particularly notorious for spreading his seed around, not a trait that either More or Wolsey shared.
So possibly the celibate clergy thing was a reaction to Richelieu?
Thomas More was not clergy, he was an attorney. Wolsey did have a mistress (common law wife) with whom he had two children before being elevated to bishop.
There were a bunch of patchwork rules but not until Trent was it made "official".
The Council of Trent considered the matter and at its twenty-fourth session decreed that marriage after ordination was invalid: "If any one saith, that clerics constituted in sacred orders, or Regulars, who have solemnly professed chastity, are able to contract marriage, and that being contracted it is valid, notwithstanding the ecclesiastical law, or vow; and that the contrary is no thing else than to condemn marriage; and, that all who do not feel that they have the gift of chastity, even though they have made a vow thereof, may contract marriage; let him be anathema: seeing that God refuses not that gift to those who ask for it rightly, neither does He suffer us to be tempted above that which we are able" (canon 9).
It also decreed, concerning the relative dignity of marriage and celibacy: "If any one saith, that the marriage state is to be placed above the state of virginity, or of celibacy, and that it is not better and more blessed to remain in virginity, or in celibacy, than to be united in matrimony; let him be anathema."[73]
https://en.wikipedia.org/wiki/Clerical_celibacy#First_century
The celibacy requirement is just more made up rules of Roman Catholicism.
It should be noted there is nothing in the New Testament prohibiting God's man to be married if he wants to be.
No, it was to be sacrificial and available to all in imitation of Our Lord Jesus Christ.