Step zero. Not even one, because it's even more important than that. NEVER THINK YOU'RE BOTHERING YOUR THERAPISTS. EVER. They seriously have nothing to complain about compared to you. Their only purpose is to help you. And you'll make them help. Understood? When you're low, you don't even have the right not to be selfish, when it comes to solving your issues.
Step one. When you don't have the strength to seek help, it's okay to ask someone to seek help for you. You don't have much to do. Hello, I need help. Four words. As I said, don't overthink it. Most of life is much easier than you figure it to be. And this is one of the best examples. They're pros. Unless you literally flee the appointment (because I very much hope you won't), they'll know how to get the rest out of you.
Step two. Go to your appointments and tell them about the distress you're feeling. Or hey, why not just print this topic out? When I felt overwhelmed about telling a therapist about an issue, I did that often. I printed a topic from Susans.
Step three. Whenever you think you've eaten enough, add something. Force yourself to add something. You don't have the right to leave the table without eating an extra something. The exact same as people who eat too much, inverted.
Step four. Stop thinking that super skinny is good. I know you can't change your opinions so easily. But believe in the power of self-suggestion. Don't allow yourself to word it, mentally or literally, that you'd like to be skinny, that you wish you could be skinny, etc. You reinforce your bad thoughts when you do that, even though you don't realise it. Even, once in a while, say it out loud; write it, the contrary, even if you don't think it: "A bit of fat is good." "Skeleton-thin is disgusting."
I know it sounds silly. But I also know it always works to some extent. You know you need to change your convictions. It won't happen overnight, but little by little, by doing the smallest of things and putting some will in it, you'll achieve something.
Take things step by step. Small step by small step. Stuff becomes easy when you do so. Do it the kiddy way if you must. Write them on a chart.
You can see it this way, metaphorically. You're stuck in a room. A huge boulder is in the way. You know only you can get out of that room. You won't die there. But you need to get out absolutely. You don't have a bomb or anything, but this place was a storehouse and you have a huge crate of hammers. Even if you wanted to kill yourself, you couldn't. A bad joke of fate made you immortal. (The reason for this last statement is that suicide is never an option. The way I see it, no one knows what lies after death. If you're depressed enough to think of suicide, you should be negative enough to envision that after death lies nothing but an eternal reliving of your issues, but worse. If it can be anything, it can certainly be the worst.)
You have two options:
a) Do nothing
b) Start hitting the boulder with a hammer
Option a) is meaningless; you'll just go crazy out of solitude. Option b) will take you a huge amount of time, but you know that every hit of your hammer brings you closer to the exit.
Even if you don't have a final solution, always do a little something for your problems, daily. That extra bite after every meal, for example, will be your hammer hits.
And get a good multivitamin. Until you eat right, it'll ensure you have your essential stuff. You know, many nutrients, when you lack them, can amplify and even cause depressive and anxious symptoms. Put all the odds on your side. (I personally recommend Women's Ultra Mega if you're in the US, for all the extra little stuff they add. But don't get the canadian version. A rip-off without the little cool extras and at three times the price.)
Finally, if all seems completely hopeless, you always have the last resort option. Going to the hospital, saying you're super depressive and suicidal and anorexic. They'll take you in, ensure you can't kill yourself, force you to eat right, and make you see professionals for your issues. I was at the hospital twice for reasons comparable to this, and both times it helped me a ton. Having them take care of everything for you, if only that, is a huge help. You don't have to worry about anything but you. And they even help you do it. And the best thing is that it's not even hard to do. You walk there, talk to someone and sit down, then follow instructions. If you're so anxious you don't even want to go there, you call and they send that funny little truck with a red light on it.
Edit: By the way, I've been posting on two threads these last days. You might want to give it a look. I think there's some advice that could apply to you.
https://www.susans.org/forums/index.php/topic,128856.msg1020774.html#new