I suffered in my early 20s. Being an overweight child and teen contributed to the matter and also stress in my life at the time. I starved myself. It was the only control had. I was so thin my friends thought I was sick. I would suggest you talk to your friend. Tell her sheneeds to pay you for the food.

I've tried talking to her about it and she acknowledges that she does it. Sometimes she offers to pay for it but I do need to talk to her cuz I can't not eat all day cuz she ate my lunch. I just hate confrontation and I don't want to make her feel worse

I have an eating disorder myself so I guess I sort of understand where she's coming from, although I don't have bulimia I have had the urge to both binge and purge before. Maybe you should consider accepting her offer to pay for it or possibly consider buying a mini fridge and/or some drawers for food storage to keep in your personal space so she feels it's less accessible. I would also discuss this with her, and maybe ask how you can help her feel better. I too get very sensitive when anyone mentions anything about my eating, but in this case it may be necessary to bring it up (though be very careful with your words, and try not to imply that she is eating too much or that she is overdoing it in any way as this can be a trigger). Is she doing this very frequently?
Eating disorders are sort of different from anxiety disorders because they pose a significant risk to one's physical health (and also can have a high fatality rate, in some circumstances, for a mental health condition; between around 4-5% for anorexia, bulimia, and EDNOS). I don't say this to scare you but just so you can look out for your friend's safety. Helping her find professional help to overcome her symptoms will also reduce her bingeing, if she is willing to work on these things. Eating disorders can be life threatening, and I don't want your friend's to get to that point. Has she sought help for this? Purging is quite bad for you, so I hope that she seeks some kind of treatment. If you believe she may be endangering her wellbeing you may want to consider reaching out for outside help. (Though I would encourage you to talk to her about it first and see if she wouldn't be willing to try to change her behavior prior to that, if you feel that's happening, as many of us have a major fear of losing control.)

We've talked about it before and shes seeing a counselor for it but she still binges a lot. I've tried turning a blind eye to it when she slips up and offer moral support but it's starting to get really annoying. I'm usually a very patient person but she's stealing from me. I feel like I shouldn't have to buy a separate fridge. It's more of my money spent. I'm not trying to sound insensitive but I literally have no food for the week and I just went grocery shopping. I work 60 hours a week now and its exhausting. I'm trying to be a supportive friend but its so hard.

You're right: you shouldn't have to. I acknowledge that. If you are being financially stressed by this, you need to talk to her and potentially accept her offers of paying for the food she buys. Maybe explain your situation to her and tell her that it's quite difficult for you because you need the food you buy. You may need to be assertive.
I think it's very kind of you to be so understanding. I think a lot of people would get angry with her for taking their food. You are being patient and loyal. But being those things doesn't mean not telling her that this is a problem. I can tell that you can approach this situation sensitively and considerately. I don't know if you keep your food in separate places in your fridge or cupboards but doing that if you don't already do s may be helpful.
Best wishes. It's a tough situation.

Thank you. I just texted her saying it upset me and she was glad I called her out on it. She wants me to get mad and tell her when she does it cuz its kind of a reality check for her