Dry, it is natural to blame yourself. I think it is part of the grieving process, and in my experience the brain wants to find a quick solution to the whole messy problem and so it reaches a handy shoet cut of 'it's all my fault!' so it can take a rest from the whole conundrum. I'm the same. I can remember my family being beside themselves with worry about me not eating propeely. Not only that, DH and his mum attest to a time in his childhood when he lived solely on fish fingers (for about a year). So that doesn't make it iur fault...it makes it highly likely that genetics is the cause of our DDs' eating disorders. So not our fault in the sense of our parenting.
I can tell you that people with anorexia don't care what anyone else eats. If they can make a comparison that means they can eat one less chip, one less bean, they will. But it isn't because of any interest in what someone else eats and we've been told it's then a matter of saying 'what's healthy for you is not the same as what is healthy for me or school friends or anyone else.'
Looking at what your DD ate today, dry it is a great start, it's as much as mine ever managed before seeing a counsellor and it just needs a bit of tweaking.
So, for reference, thus is how I'd changebitbup once I'm 'put in charge' of DD's meal plans by the professional:
Breakfast: a fruit smoothie made with milk, yogurt, or a banana and berries and a bowl of granola (one full Amwrican cup). 2 slices of toast with peanut butter, chocolate spread or butter or jam.
Snack...bigger handful of peanut or macademia nuts (almonds are good though) and 8 dried apricots (25g is serving). With a small glass or milk or fruit juice or hot chocolate drink. Or a packet of crisps.
Lunch a wrap with 3 thick slices of brie and 2-3 slices of ham, spinach and a few left over sweet potato wedges. plus a drink and 3- 4 other things e.g. boiled egg, flapjack, yogurt, a banana, crisps, 30g dark chocolate, 25g peanuts, 25g dried fruit, chunk of cheddar, 4 cocktail sausages, 4 falafel...or a 600 kcal sponge pudding).
Then an afternoon snack and calorie dense drink.
Dinner and dessert and calorie dense drink.
The drinks really do make a big difference.