What should the questioner do if her father continues to not respond to her, and is it necessary for her to gain the approval of this disobedient father, knowing that she prayed for his death and he did likewise?

The questioner must honor her father and obey him in what is good. It is not permissible for her to mistreat him or supplicate against him. She should advise him gently and kindly regarding being just among his wives and treating her mother kindly. She must also apologize to her father for what transpired from her.