If she's breaking up the things that are important in your life, you've got to show her you can do the same. Even if it's oonly food and television.
After she's done something you don't like, tell her you are going to get revenge for it. And make sure she knows what you're talking about.
When the situation cools for a bit, remove her from her food or TV, even if you straight up snotrocket in her plate or throw it away.
She'll either realize you'll take action, or if she's the inability to reason, she'll just remain pissed as before.
And when/if your mother chastises you for doing something like this, explain to her that your sister has done much worse. In the most serious manner you can show, and getting your other sister to back you up won't hurt either.
And even if you don't take my advice, see this. I don't know how old you are but at some point you'll both grow up enough to where you can show her your side of the conflict, and move on.