The RCC was right to deny a church wedding in this case, because the attempted marriage would not have been valid, sacramentally, since it was not consummated physically. The meaning of marriage, according to the Bible, is that the two become one flesh. They are not one flesh if they cannot or do not perform the Act of Marriage.
This is why, as well, two men cannot get married, or two women, or two surgical neuters that don't have sexual organs at all. They may love each other, be beautifully and sincerely committed to each other, want to spend their lives together in mutual fidelity and unity of heart and mind --- might they not? two loving men? --- but they cannot marry precisely because they can not minister to each other the holy Act of Marriage, which is sacred bodily union of the type by which the human race is procreated.
It doesn't matter whether one or both of them are infertile. What matters for the Sacrament, is that they can and do perform the unique, specific act which makes them one flesh.
BTW, two men do not become "one flesh" no matter how tenderly devoted to each other they may be, and no matter what kind of jiggery-pokery they do. If it does not involve the husband ejaculating into the wife's genital tract, it is not a completed act of natural intercourse.
Historically, this is why the RCC Church said that King Henry VIII's marriage with his first wife, Catherneof Aragn, was valid and indissoluble. Henry said the first marriage was not valid because he was married to his brother's (Arthur's) widow. The Church said that although Catherine and Arthur had been married in Church, the marriage was never consummated (Arthur was very sick at the time of his marriage, and died not too long after) and therefore Catherine had validly married when he wedded Henry, and the marriage could not be annulled.
Thus having a rather serious impact on the course of history, as everybody knows.
Woman was given unto man before the fall BEFORE any sex act was recorded. Adam and Eve were man and wife in chapter 2. Sex is mentioned where? Chapter 4.
You insist upon bringing gay relationships into this discussion which the Bible specifically prohibits . Worse you try and lower a loving relationship of a heterosexual relationship to that one of a Biblical forbidden gay relationship. Please learn the difference.