Summary

Portrait of Thomas Aquinas Thomas Aquinas Summa Theologiae — Question 67 - OF THE MINISTERS BY WHOM THE SACRAMENT OF BAPTISM IS CONFERRED…

Consequently, just as a layman can baptize, as Christ's minister, so can a woman.
But since "the head of the woman is the man," and "the head of . . . man, is Christ" (1 Cor. 11:3) , a woman should not baptize if a man be available for the purpose; just as neither should a layman in the presence of a cleric, nor a cleric in the presence of a priest. The last, however, can baptize in the presence of a bishop, because it is part of the priestly office.
Source: Wikisource

Portrait of Thomas Aquinas Thomas Aquinas Summa Theologiae — Question 67 - OF THE MINISTERS BY WHOM THE SACRAMENT OF BAPTISM IS CONFERRED…

Further, it is better for several to instruct than for one only. If, therefore, godparents are bound to instruct their godchildren, it would be better to have several godparents than only one. Yet this is forbidden in a decree of Pope Leo, who says: "A child should not have more than one godparent, be this a man or a woman."
On the contrary, Augustine says in a sermon for Easter (clxviii) : "In the first place I admonish you, both men and women, who have raised children in Baptism, that ye stand before God as sureties for those whom you have been seen to raise from the sacred font."
Source: Wikisource

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