Re: Preschoolers and healthy diet
Are there any snacks you let her have that she loves? Like a cookie after dinner, or during the day? I would make a rule that as long as she doesn't eat vegetables, you don't allow her a certain snack she enjoys. It'd be more effective with something she normally gets right after dinner, but my 3.5 understands the consequence when it's the next day too.
If I do this kind of thing with my kids I explain why. "you can't eat sugar if you're not going to take care of your teeth by brushing them." or "your body needs healthy foods, and cookies aren't good for your body. if you don't eat the healhty things I can't let you have the snack that isn't good for you"