Roman Catechism 16.49

Chapter 16 — Part II: The Sacraments — Baptism

Section 49. Let not the faithful, however, imagine that this office is given promiscuously to all, so as to do away with the propriety of observing a certain precedence among those who are its ministers. When a man is present a woman should not baptise; an ecclesiastic takes precedence over a layman, and a priest over a simple ecclesiastic. Midwives, however, when accustomed to its administration, are not to be found fault with if sometimes, when a man is present who is unacquainted with the manner of its administration, they perform what may otherwise appear to belong more properly to men.