There is only one answer. Any theologian who does not know the answer shows a knowledge of instruction, education by authority, structured assignments. But the only answer is the one that applies in every situation, every time. In some scriptures Jesus speaks to those who would accuse the sinner. Note, I do not even restrict my reply and explanation to the woman, for it applies to men as well, - nor even to the offense of adultery.
His response never needed Him to even speak - as it is usually written…
He did not write any one of the Laws. Those in attendance were already convinced their intentions were sanctified by one of the Laws. They already believed they were justified in their conviction of the accused’ conviction.
He did not write any traditional sayings. These accusers were intent on execution, and no oral argument had deterred them. The only thing that could disarm them, would be something that could erase their convinced intentions. He disarmed each - as each was an individual - as the accused was an individual:
Yes, he did write names.
He looked at the crowd, at each individual.
He knelt and wrote - and looked at an individual. That person realized what He wrote was personally directed - and dropped their stone; thus disarmed and walked away newly convinced of their own conviction as accused sinner.
He looked at the next person - who did not understand, nor need to comprehend what He had just written; and He wrote again. Looked at this person, who then dropped their stone and left, also convinced of a personal disquieting sin.
Each person was thus, in turn confronted, thoroughly, and never again capable of accusations toward another.
There was only one thing He could have written.
It was names.
To each in the crowd He wrote a name.
A name of someone that person with which the stone holder had committed the same offense.
Each in the crowd was confronted with a personal conviction of sin. Each realized Jesus discerned their heart, their past, their life - their sins.
All had committed the same sin.
Any sin convicted equally.
Completely.
There is only one answer. Any theologian who does not know the answer shows a knowledge of instruction - but not necessarily inspiration; education by authority; but without insight’s empathy; and structured assignments by organization - but no organization is capable of the personal discerning insight He has.
I have never seen the Church capable of this reasoning.
The Church is not the bride, Jerusalem is the intended.