My son ate broccoli first when I told him the stalks we little trees, and to munch on the leaves. He proceeded to eat just the tops (that's better than nothing!), and it has remained a favorite. The V8 fruit and vegetable juices were a backup although the sugar content is too high.
You can always make meatballs with tiny shredded carrots and zucchini. Plus it tastes quite good. Homemade chicken soups with lots of vegetables are good because even if she doesn't eat the veggies a lot of nutrients get into the broth. You could make wontons/raviolis with wonton wrappers from the produce section, fill it with ground meats/cheese/minced veggies, and cook them in broth. With a food processor its pretty quick.
Cutting large pieces of vegetables into stars worked sometimes. It always worked with fruits. He also would eat tempura'd veggies, but deep fried food always looks like a nugget. Tempura batter is so addictive and time consuming, Mommy can't do that too much.
Mostly, I think some kids are just picky, but if you eat the foods in front of your daughter and keep trying without pushing too hard, she will eventually try. My son who used to only eat hot dogs, nuggets, and pizza recently requested broccoli, cabbage, cauliflower, apples, salad with poppyseed dressing, and a fresh coconut to try the milk. Never would have thought it possible...he made the transition himself. I think they have to get used to more complex flavors which in a way is good, at least it seems less likely a child would ingest something harmful in error if it tastes yucky and she is picky. Maybe it's Mother Nature's evolutionary way of making sure kids don't try things they shouldn't.