Should the female questioner agree to marry a married man whom she loved before his wife knew about their relationship and accused him, then forgave him, while he insists on marrying her?

You must repent to Allah Almighty for engaging in forbidden relationships with foreign men. Sincere repentance involves regretting what has passed, immediately ceasing the sin, and having a firm resolve not to return to it in the future. There is no harm in your marriage to this man if he desires it, because "nothing is seen for two who love each other like marriage." Your marriage to him is not considered an injustice to his wife, but beware of inciting him to divorce her, as this is forbidden. It is permissible for a woman to accept marriage from a married man if she is pleased with his religion and character.