Gosh, things need to change otherwise they will get a whole lot worse.
I have a story for you.
My friend was in the same situation as you. Her dd was given too much freedom at a young age and she could do no wrong in Daddy's eyes.
By the time her dd was 12, she was telling her mum to fuck off, shouting at her, never taking the mum seriously etc. I've been round to their house and the dad and dd would sit there putting my friend down, teasing her - but to the point of bullying. For example: DD:"oh I hate mum's cooking, it's shit." (her DH giggles) "I love anything you cook though dad" DH: "That's cos I always make an effort for you my darling." My friend: "So do I. Just tell me what to cook." DD:"Don't give me that! Even when I ask for macaroni cheese it's shit! It smelt like vomit last time she cooked that, didn't it dad!" (DH giggles). You get the picture.
My friend, by the way, is lovely. Talented, beautiful, generous, caring. She is a nurse and loves her job.
Her marriage was falling apart. Both her DD and her DH disrespected her and belittled her on a regular basis. One day, her DD was shouting at her and then lashed out at her, my friend instinctively hit back (she knows this is wrong, but years of frustration and hurt got the better of her) and made her nose bleed. Social services were called. My friend tried to make it up to her DD but she didn't want to know and the DH treated her like an evil bitch. The marriage ended. Her DD chose to go and live with her DH who was now full of hatred for her post divorce, and so would poison their DD and fill her up with hate towards her mother.
She hasn't seen her DD for 3 years now because her DD refuses to see her. My friend is heartbroken. She loves her DD and grieves for her.
Think this is all too dramatic and would never happen to you? Nobody would have thought it would go this far for my friend either, not in a million years. And yet I remember her DD being 9, and my friend telling me EXACTLY the kind of thing you have described in your post.
I'm not saying this will happen to you, but I just want to make you aware of how things can get out of control. Stop it now, while you can.