Will the repentance of a woman be accepted, and will her supplications be answered for the protection of her children and for forgiveness for what she previously invoked out of ignorance, given that she had prayed for God to punish her through her children instead of depriving her of marriage to the one she loved, knowing that this supplication was made only once and in private?

No matter how much a servant sins, if they then offer a sincere repentance, Allah accepts their repentance and rejoices in it. Allah Almighty said: "Say, 'O My servants who have transgressed against themselves [by sinning], do not despair of the mercy of Allah. Indeed, Allah forgives all sins. Indeed, it is He who is the Forgiving, the Merciful.'" (Quran 39:53). And Allah Almighty said: "And it is He who accepts repentance from His servants and pardons sins, and He knows what you do." (Quran 42:25). It is not possible to definitively affirm the acceptance of a specific person's repentance due to the inability to verify the fulfillment of the conditions of repentance. Therefore, offer sincere repentance to Allah and ask Him for well-being and preservation for yourself and your children, for Allah does not disappoint one who sincerely supplicates to Him.