There has never been any evidence whatsoever - I am talking about the Scriptures, including the Messianic references in the Old Testament, and about the teachings of the Church Fathers - for the Lord having entered into a human marriage. That is already evidence that He was not married.
I also read somewhere - I just can’t remember where - that the reason for which Jesus could not have been married had to do with His divine mission. Marriage is a vocation
per se, which includes a God-given mission to take care of your bride, form a family, grow your children, etc. Also, the husband and the wife cease to be two and become one. If this had been Christ’s vocation, and we know Christ was perfectly obedient to God’s will, then He would have become the perfect husband.
And he did, in a mystical way. He takes care of his Bride, being her head, and grows and educates His little ones with love and discipline. His Bride, the Church, is also - indeed - his body.
Christ had a clear mission, a clear vocation.
What is God’s will about a spouse? Jesus describes it (Mt 19:5):
For this cause shall a man leave father and mother, and shall join to his wife, and they two shall be in one flesh.
I wish to find out more about this I am about to mention, for I only know traces and I may be mistaken. However I recall that the Jewish marriage involved two steps: the
kiddushin (betrothal, engagement - the state in which the Blessed Virgin and the Patriarch are at the time of the Annunciation, see Mt 1:18) and the
nisuin. We learn that the minimum age for
nisuin under Jewish law is 13 for boys, but the
kiddushin could take place at an earlier age. We read that “in the past, the kiddushin and nisuin would routinely occur as much as a year apart”.
At age 12 - the one time in the Gospel where the age of the Lord is clearly mentioned, the other being an approximated age for the beginning of His ministry ("* about thirty years of age*", Lk 3:23) - we find our Lord remaining in the Temple of Jerusalem, away from His parents. When they go back and finally find Him, His reply is:
Why were you looking for me? Did you not know, that I must be about my father’s business?
I cannot find the reference to this which I have slowly put together by gathering single bits of data, therefore I may as well be entirely mistaken without the official seal of the Church, or at least a concordant declaration of some reputable theologian. However, it all makes sense, and the clear vocation of Christ to a mystical marriage appears to be more than just symbolic.