As salamu alaykum my dear sister,
Often times children go through phases wherein they seem to be distant towards one or both parents. It does not mean they do not love you. Even though she says she hates you, she does not, it is a reaction which she is displaying that is inappropriate but valid in that she is expressing a discomfort. However she is directing it at you-someone she feels safest with and someone she trusts. Your daughter may be angry about something or hurt over something that may be totally independent of you, but you are the “safe” person with whom she can vent.
This may be her only means of expressing her anger and although it has nothing to do with you, it still hurts. Words are power, and often children will lash out when they feel they are in a powerless situation. When your daughter says these hurtful words, I would kindly suggest trying to get your child in touch with where these words and feelings are coming from. By listening to your child and encouraging your child to talk about the deeper feelings beyond “I hate you, and I want to live at my grandfathers” could help her open up to what is really causing these feelings of anger and pain within her. Try to be non-judgmental in your approach and remain emotionally strong and present for her. While disrespect is not to be tolerated, often children do act out in this way when something is bothering them.
It sounds as if your daughter is very close to her grandfather which is a good thing providing the relationship with her grandparents is a healthy one. Sometimes grandparents can become too attached to a grandchild as they may miss having a lot of family around and the child latches on to that emotion. Many children often desire to stay at their grandparents as they find it less restrictive and more fun than home. Grandparents often do spoil their grandchildren in this regard and sometimes it makes it hard for the parent. Perhaps slowly reduce the time she spends at her grandfathers and increase the time she and you spend together. Try to do more things with her that she finds fun and engaging in order to increase time together. This will insha’Allah increase her ability to open up to you about what is going on inside her emotionally.

If your daughter displays other behaviors however such as nightmares, anxiety, random fears or other signs of maladjustment, please do take her to a child counselor as she may being going through something more severe which you are not aware of at this point. While this type of behavior is often normal in this age group, please do be aware of other behaviors or signs that t may be more serious.

Please let us know how you are doing, you are in our prayers.