There are many good women who would fit in well in a priestly ministry.
Yes, there are. In fact, all baptized Christians share in Christ’s priestly ministry:
**CCC 784 **On entering the People of God through faith and Baptism, one receives a share in this people’s unique, *priestly *vocation: “Christ the Lord, high priest taken from among men, has made this new people ‘a kingdom of priests to God, his Father.’ The baptized, by regeneration and the anointing of the Holy Spirit, are *consecrated *to be a spiritual house and a holy priesthood.”
Furthermore, all baptized Christians are called to act in accordance with this universal priestly ministry:
**CCC 1546 **Christ, high priest and unique mediator, has made of the Church “a kingdom, priests for his God and Father.” The whole community of believers is, as such, priestly. The faithful exercise their baptismal priesthood through their participation, each according to his own vocation, in Christ’s mission as priest, prophet, and king. Through the sacraments of Baptism and Confirmation the faithful are “consecrated to be . . . a holy priesthood.”
The common priesthood of all the faithful differs essentially from the ministerial priesthood of bishops and priests:
CCC 1547 The ministerial or hierarchical priesthood of bishops and priests, and the common priesthood of all the faithful participate, “each in its own proper way, in the one priesthood of Christ.” While being “ordered one to another,” they differ essentially.22 In what sense? While the common priesthood of the faithful is exercised by the unfolding of baptismal grace --a life of faith, hope, and charity, a life according to the Spirit–, the ministerial priesthood is at the service of the common priesthood. It is directed at the unfolding of the baptismal grace of all Christians. The ministerial priesthood is a *means *by which Christ unceasingly builds up and leads his Church. For this reason it is transmitted by its own sacrament, the sacrament of Holy Orders.
The sacrament of Holy Orders can only be validly received by a man. This is the Church’s constant, infallible teaching whose truth is assured by the Holy Spirit.
Thus, any woman who claims to have a vocation to the ministerial priesthood is mistaken.
– Mark L. Chance.