My DD (now 28) was exactly like this from age 9 to 14. I did lots of slow deep breathing, silently counting to 10, 2-3 minute time outs (me-for space, not her, lol), repeatedly reminding myself that teenage hormones and brains rule the child, not the other way around and that she would come through it in time. Like you, her dad and I were and are still together. We have an older DS and from them being best friends, she frequently 'hated' all of us, including her brother.
It was a rocky and difficult time but we got through it with patience and with carefully picking our battles, prioritizing hers and our safety clear and firm boundaries where needed and calmly tolerating a lot of her other frustrating behaviour. By the time she was 17 things were good and she was lovely again and she and I have been really close since she was around 20.
I've worked with kids, many with severe emotional and behavioral issues, for most of my life, but dealing with my DD took every last scrap of patience and drove me to tears of sadness, anger and frustration many many times, so I feel your pain!
Unfortunately, some children just seem to be more deeply or strongly affected by their teenage hormones. No matter how hard their behavior is for us, being at the mercy of their hormones and emotions is much, much harder for them, because they're children and just don't have the tools to rationalize and manage what's happening inside them. She loves you and knows you love her but being a teenager can be really hard!
Edited to add, try not to argue with her. Just calmly state your position and ignore the teenage rants. If needed, calmly reiterate your position and reassure her that you care about her, as necessary. They calm down faster if you don't fuel the fire by arguing with them.