I am exactly like this. My extreme anxiety, which I've had for decades and it's gotten significantly worse in the last 10 yrs, completely drains me of energy and motivation, so cooking and the subsequent cleanup just seems so overwhelming now. I also have lifelong GI problems that leave me nauseous or abdominal pains/bowel issues 90% of the time so my appetite is low to non-existent on top of how the anxiety takes it away. Many days I subsist on Sprite and either soda crackers, or toast, or nothing except the Sprite. I think I've gone about 3 or 4 days like that but I don't eat much even on 'good' days.
What's helped me a bit is canned soups that I can simply open and microwave, or protein/meal replacement shakes (although you can't really 'live' on them exclusively...but they'll help on the days where you just cannot even deal with microwaving soup, and trust me I've had countless days like that so I understand. Also, if you like things like yogurt, or applesauce, or even ice cream - obviously you need a balanced diet to be healthy - having those things around to just open and eat and then toss the container at least puts some calories into you. And even eating a small amount of food like those things will maybe help stimulate your appetite so then maybe you'll be motivated to make a little something else, too. Don't worry about preparing a "proper meal", like "oh I must have meat/fish/protein, side dish, vegetables, dessert, etc". Obviously a well balanced, nice meal like that is the best but when you're feeling as low and weak and unmotivated as you are, just try to eat as healthy as you can and focus on small amounts throughout the day. It all adds up.
I'm sorry you're going through this. I know how awful it is and how bad you start feeling when you just can't eat, you feel sick at he thought of eating, the anxiety...all of it. I hope somehow things will get better for you.
(I too have chosen to just go to sleep vs the effort of fixing a meal and then having to wash dishes, etc. It's such a vicious cycle that's tough to break if it goes on too long because besides the depression and anxiety draining your energy and motivation, the lack of food leaves you lacking energy even more and that makes the thought of preparing food and everything even more difficult. For awhile at least, try to keep healthy foods in your home that you can just throw away the container, wrapper, whatever, or try to only use one bowl or plate so the cleanup doesn't seem so overwhelming. Again, I hope things get better for you. I know what you're going through is really hard. Sending you lots of support.)