I mean it's not explicitly correct but that man would have been beaten, stripped of his possessions and cast out unless he provided the corpse of her lover having caught them in the act. Otherwise he takes it out on the man and casts her out.
That is unless the man is a stranger in which case. He drags her in front of the mediator with witnesses (character or otherwise) and simply seeks to cast her out. If it is plausible that she may have clear opportunity or not, she loses everything.

Now his mistreatment of her, say yelling at her continuously in public. No trial required. He is simply beaten by one or many men.

Accountablility for behavior.

Not guilt or innocence of a particular deed in a particular moment.

If the case is bad enough, say children which are not his own. She might be slain by the mans female relatives.
https://youtube.com/shorts/EulGdZYOy9c?si=zMVtcNzCNuAIKZx1

This is Khokhloma style of Russian old folk craft