Several places in the Scripture he is addressed as Rabbi.
Hebrew law says you have to be married to be a Rabbi.
I’d believe that he was married, but it’s anyone’s guess as to to who was his wife.
As your premise is false (that "rabbi" was strictly a formal term used at the time of Christ, and that The Lord Jesus was one, and was under a law that required him to be married by the time of His death) then so also is your conclusion. Which would also require the "rabbi" John the Baptist to be married.
Then Jesus turned, and saw them following, and saith unto them, What seek ye? They said unto him, Rabbi, (which is to say, being interpreted, Master,) where dwellest thou? (John 1:38)
And they came unto John, and said unto him, Rabbi, he that was with thee beyond Jordan, to whom thou barest witness, behold, the same baptizeth, and all men come to him. (John 3:26)
Dr. Michael Brown states,
In one sense of the word, then, it is right to say that Jesus was a rabbi. On the other hand, official rabbinic ordination (called s’mikha) had not yet been established in Jesus’ day and so, there was no way to become arabbi in any formal sense of the word. The term rabbi was an informal title of honor and esteem used in Jewish circles, reflecting the way in which a disciple would address his teacher, rather than signifying a formal title associated with public ordination. In that sense of the word, there were no rabbis in Yeshua’s day. - https://askdrbrown.org/library/was-jesus-really-rabbi
Catherine Hezser The social structure of the rabbinic movement in Roman Palestine 1997 -Page 59 "
– Rabbi as an Honorary Address ... Since Jesus was called "Rabbi" but did not conform to the traditional image of post-70 Jewish rabbis, and since pre-70 sages do not bear the title "Rabbi" in the Mishnah,29 most scholars assume that the meaning and usage of the term "Rabbi" at the time of Jesus differed from the meaning which it acquired after the destruction of the Temple: in pre-70 times, "Rabbi" was used as an unofficial honorary address for any person held in high esteem; after 70 it was almost exclusively applied to ordained teachers of the Law." More here if needed on "did the bible lie about Jesus not being married ?"
Summing up what other research testifies to, a poster writes, ''
I can answer you that, by the time of Jesus, the title "rabbi" and correlates were not exclusively used in a formal manner as it is today in judaism in reference to authorized clergy. On the contrary, it was sometimes used in reference to non-clergy and non-pharisaic individuals who had acquired a religious following as a means of attributing honor. Also, not all recognized pharisaic authorities (that time's rabbis) had the rabbi title attached to their names, as was, for example, the case for Hillel The Elder. Later rabbinc authorities also don't always have the title, as is the case for the Sage Shmuel, and many others./a/62040
All this to say that: even if it could be proven that in rabbinic judaism historically one would have to be married to be a recognized rabbi, it does not follow from it that Jesus was married just because he was called a rabbi, since the title was not exclusively used in this formal manner by that time, being some times attributed to religious leaderships independent of formal training, recognition and, needless to say, any other requirement for official ordination as a rabbi. - user5223 https://judaism.stackexchange.com
Also of note,
Simeon ben Azzai or simply Ben Azzai (Hebrew: שמעון בן עזאי) was a distinguished tanna of the first third of the 2nd century. His full name was Simon ben Azzai, to which sometimes the title "Rabbi" is prefixed. But, in spite of his great learning, this title did not rightfully belong to him, for he remained all his life in the ranks of the "talmidim" or "talmide hakamim" (pupils or disciples of the wise)...His love of study induced Ben Azzai to remain unmarried, although he himself preached against celibacy, and even was betrothed to Rabbi Akiva's daughter, who waited for years for him to marry her, as her mother had waited for Akiva.[3] When Eleazar ben Azariah reproved him for this contradiction between his life and his teachings, he replied: "What shall I do? My soul clings lovingly to the Torah; let others contribute to the preservation of the race".[4] - https://en.wikipedia.org/wiki/Simeon_ben_Azzai