I am sorry you are experiencing such extreme situations and emotions!
This is my perspective that I offer you to do with as you choose:
It sounds very extreme to say that if you kill yourself, you will be actively killing your mother.
When she said she will die if you die, she was using guilt/emotional blackmail to control your decisions and actions. It was an extreme statement intended to go inside of you and make decisions for you. I am not saying she is a bad person, but she said something very extreme to counteract your action that she took inside and felt in an extreme way.
You can only live your life. You cannot live both yours and hers. It is impossible to do so. Guilt is not an emotion but a message. It makes us feel like we have to live the life others want us to and not the one we need to. We end up fighting inside to live one life or the other, and if guilt wins, someone else owns our life, but yet they don't live it for us. Your mother wants you to live, but she cannot live your life any more than you can live yours. (Edit: any more than you can live hers.)
I am not encouraging you to kill yourself! I am encouraging you to be a separate person from your mother -- and from everyone else. When that happens, when you are separate, you may decide to die, or you may realize you are not able to manage your life because it has not been your own, and so you finally own it and ignore what everyone else says and wants. One way is freedom from life, the other is freedom to live your own life.