There is no concept in Quran as “delegation of the right of divorce”. It is not possible and there is no need for it. According to Quran, both parties in marriage have a natural right to divorce. Men’s right to divorce is called talaq and women’s right to divorce is called iftidaa.
A woman is one of two parties in marriage. She doesn’t need to be represented by her father or anyone. She marries in the supervision of her Wali and witnesses. She has no obstacle on divorcing from her husband whenever she wishes. Women are not some commodity. They are human and they are not any different than men in terms of human rights.