L., I am an instructor of a wonderful parenting style called Connection Parenting. I would like to share how this could be handled using the Connection Parenting style and methods. It may seem different, because it is, but it is an amazing, life-changing way to raise our kids.
Because you know she does this, you have huge benefits on your side in expecting it to happen. I would suggest staying close to her in preparation, and when you see her begin to move towards throwing it, take a gentle but solid hold of her hand and take responsibility for her, by setting a limit with words such as "I can't let you throw your food, or plate." Release her hand and stay close to see if she goes for it again. Still staying calm here, in loving tones, take her hand again if she repeats and repeat the same thing. Then you might even take her in your arms, and empathize with her feelings. "Boy, something on that plate must sure look icky to you, because I know you are a hungry girl." (now, depending on her speech skills - at 2 may be iffy)... she may respond to that statement. If she isn't there yet, you can give her a moment to process your words, and then offer her a solution, "let's see if we can find a way to make it look yummier"
With these responses, she will feel heard, her need for love and connection will have been met with the touching and holding, she won't feel guilty or "bad" for having thrown the plate, you won't have a mess to clean up, and after a few times of being responded to this way she will take up the solution based mindset, she will trust that you love her no matter how bad she is feeling and have her best interests in mind. She will be able to keep her autonomy, not feeling as though she has to submit or rebel to not eat something that she doesn't like.
Let me know how that works, or if something unexpected happens. Just FYI.. if she happens to break into tears when you pick her up, it is normal. She may just have some upsets from her day that she needs to get off her chest. Let her cry and get them out. And come back here to let me know or ask more.
I teach classes around Metro-Detroit... the next one is in Clarkston in January. If that fits your need, and you like how the method works out for you, let me know and I can send you more details or keep you informed of future classes in your area.