I don't know if this has come up yet, but something to consider is that it's actually difficult for children to digest vegetables because their digestive systems are not yet mature. Vegetables are actually quite challenging to digest and this may be a reason that children so often don't like them. We live in a culture that screams "eat your veggies" but do you know there isn't a single scientific study showing that there is any benefit? And many traditional cultures that were very health ate little to no vegetables - the masai for instance, known for their physical magnificence eat only milk, meat and blood (I doubt your daughter would enjoy that either!)
One way to make veggies more digestible and appealing for children and everyone is to add fat. The vitamin matter in veggies is only digestible with the addition of fat soluble vitamins -- that's why traditionally they're served with butter, cream sauce, salad dressing etc. My husband is a researcher and a health care practitioner so if you want to you can find links to studies about all this stuff on his blog http://chriskresser.com/
I don't know if you eat meat, but eating grass-fed animal foods including eggs and dairy if you can tolerate it is a good way of essentially getting the benefits of eating green food - it just cycles through the animal first and is more nutrient dense than eating vegetables. And kids tend to love at least some meat, milk or eggs.