Chapter III of the Rite of Marriage looks at the changes and adaptations for a marriage of a Catholic and a non-Christian. An unnumbered introduction states:
If marriage is celebrated between a Catholic and unbaptized person (either a catechumen or a non-Christian), the rite may be performed in the church or some other suitable place and takes the following form.
Such a marriage may take place outside of a church, assuming a sensible suitability. RM 55 essentially repeats the provisions of RM 19 or 39. The words of the rite omit the mention of either the priest’s “friendly manner” and the “joy” of the Church.
Sections 56 gives the option for as few as one reading:
The liturgy of the word takes place in the usual manner. There may be three readings, the first of them from the Old Testament. If circumstances make it more desirable, there may be a single reading. See nos. 67-105.
RM 57 mandates a homily. Sections 58-61, the questions of the couple and their consent to marry, duplicate earlier sections 23-26 and 43-46. RM 62-63 provides for an optional blessing and exchange of rings. If used, the words are given as in previous forms of the rite. The option for silence exists also.
RM 64-65 provides a similar nuptial blessing. This too may be omitted. RM 66 concludes chapter III:
The rite may be concluded with the Lord’s Prayer (or, if the nuptial blessing has been omitted, another prayer by the priest) and a blessing using the customary form, May almighty God bless you or another formula from nos. 125-127.