What is the ruling of Islamic law regarding the permissibility of concealing oneself and using ambiguous language when swearing before a judge, if an incomplete adulterous relationship is exposed? Is his repentance considered valid, and does the other party have a right against him?

Warning against the trial of women is essential, as free mixing and jesting can lead to indecency. For this reason, Allah forbade approaching zina (fornication/adultery) because it encompasses all its مقدمات (preliminaries). Sincere repentance and turning to Allah in supplication protect one from waswas (whispers/temptations) and bring concealment (of sins) and forgiveness. Tawriya (ambiguous speech) is permissible before a judge as long as it does not involve the right of a created being; in such a case, tawriya is of no benefit.