Will Allah forgive a woman who betrayed her husband by kissing and mingling, then repented with sincere repentance? And will she be exposed on the Day of Resurrection?

What the sister did by mingling with men and kissing them is a sin and an act of betrayal to Allah and to her husband. However, her remorse and weeping are signs of the sincerity of her faith. She must combine fear and hope, and not despair of Allah's mercy. Sincere repentance, with its pillars of abandoning the sin, regretting it, and resolving not to return to it, is what Allah uses to transform bad deeds into good deeds, even for those who committed polytheism, murder, and fornication. Allah is Forgiving and Merciful.