Hrft, sorry no time, I also have a DS3.7y who is picky.
If he has milk first thing he dirsnt eat breakfast but will have mid morning fruit at nursery or home.
He often doesnt eat lunch at home, but devours it at nursery. After nursery he has a snack plate, fruit and salad with babybel cheese or rarely ham or sausage. The he generally eats with us around 7.30 often only a spoon of rice and chicken abd Brocoli or peas.
He is not Arfid, obvs but if he doesn't get the food he likes he doesnt eat. So its lots of strawberries, watermelon, blueberries and raspberries, broccoli, peas, carrots, sweetcorn. Few bits of meat and pasta..
He does also get some non healthy snacks, a few crisps, or a piece of milk cake, but he's such a slim kid, I'd rather he ate something.
And he regulates himself, Easter he got hold of a whole large choc egg but ate a tiny bit then gave me the rest to save for later.
He's had a few illnesses and this diminishes his appetite alot, those times I make sure we have extra fruit bc its what he likes most.
I'd rather he had more protein, but he hates yogurt unless its really well hidden in food.
I woukd keep offering food, but small amounts. Likely she'll pick up a bit.