I think you should try to get back to that state of mind you had prior to leaving your mom's house, where you were so determined to make it on your own and be independent. From what I gather, the only thing that caused you to move back into your mom's house was the anorexia. You were feeling anxiety which is somewhat normal for any adult who has just ventured out on their own, it's a nerve-wracking experience for everyone. You just didn't learn the right coping skills to deal with that normal anxiety, so you turned to food control and developed anorexia, which was your downfall that made you move back in with your mother.
This is actually good news, because to me, it means you CAN make it on your own - as long as you don't develop an eating disorder again.
You just need to get that same motivation and determination back that you had before you left, saying "Nothing can stop me because I'm an adult." And don't limit your food intake next time. There are so many other healthy alternatives to managing stress. Exercising at a gym is a very popular way to manage stress, there's also yoga or meditation, there's also healthy clean eating, there's home hobbies that you can take up like soap making or cooking or writing or reading or a sport or gardening or camping.

Go out and prosper. Have fun, take the pressure off. Your mother might have turned the grief she felt from losing your father into misguided anger towards you leaving because she felt abandoned or something. It's not right of her to think that, but since she's an alcoholic, she obviously has deep routed issues that cause her to act out in ways that might not be very logical.

So get away from her toxic attitude. At least you KNOW you can make it on your own, just don't develop anorexia again, and you should be golden.