Matthew,
I understand what you are saying. For the baptism rite to be celebrated licitly, the minister must be a priest or deacon. I also understand that, typically, the only extraordinary circumstance “of necessity” would be a near death situation (otherwise, the recipient of baptism could be brought to an ordinary minister, or the ordinary minister could be brought to the recipient). However, that is not the only circumstance.
In fact, the Constitution on the Sacred Liturgy, Sacrosanctum Concillium, says the following:
- The baptismal rite should contain variants, to be used at the discretion of the local ordinary, for occasions when a very large number are to be baptized together. Moreover, a shorter rite is to be drawn up, especially for mission lands, to be used by catechists, but also by the faithful in general when there is danger of death, and neither priest nor deacon is available.
Note that it gives two circumstances where this shorter rite is to be used:
*]Mission lands, to be used by catechists
*]By the faithful in general when there is danger of death, and neither priest nor deacon is available
The first bullet is why chapter 4 exists in the “Rite of Baptism for Children” book:
i.imm.io/cjRx.png
You will, of course, note that Chapter 4 is distinct from Chapter 5 (“in danger of death”)
More importantly, though, is the fact that none of the above impacts the validity of baptism. If the proper form (Trinitarian formula) and matter (water) are used. along with the proper intent, the baptism is valid, regardless of whether canon law is followed, the rite is used, or any other criteria. Else why would the Church accept baptisms by non-Catholics?