I disagree with Lambslove completely here...the other posters, I'm right with you guys. I have 2 picky kids.
I was a picky eater as well so I try to sympathize with them somewhat, HOWEVER, (as Dr Phil would say) You can't let the tail wag the dog.
1. Explain to her that she needs to eat to help her body grow and be strong and healthy.
2. Also let her HELP plan what's on the menu. I've figured out the meals that I fix that my girls will eat...if the main course is something they won't eat, then I make sure to have a few side dishes they do like (mac and cheese, green beans, applesauce, etc.). That way, you can rule out 'she just doesn't like the food.'
3. You were concerned that forcing her to eat might lead to an eating disorder...if she continues to 'sneak around' to get food, that could lead to possible serious issues as well (binge eating only when she's alone and no one's watching).
4. Food is one of the few things kids can control in their lives. She's realized that you can't force her to eat. Maybe if you give her some other choices, she'll feel she's more in control. Like, 'Would you like chicken nuggets or mac and cheese?' 'Should we have milk or juice with supper?' Let her know that not eating is okay, but not eating supper means no snacks...make sure she's clear on the rules.
5. Maybe if you let her help you prepare the meal, she'll be more likely to join in with eating it. My girls LOVE to help me cook. Of course, be careful around anything hot or on the stovetop. But perhaps if she's feels like she's making a contribution, and if she feels proud of the job she's done, you might be surprised with the result. Make a big deal about what a great job she did and how yummy her food is. Kids LOVE it when you feed their ego...and it's good for self esteem, too.
These are a few things I tired with my kids and it seems to have worked...of course, we still have occassions where they don't feel like eating at suppertime. But if they don't eat supper, we they come to me to tell me they're hungry later, I give them their supper plate back. I know they will eat what I've made for them, so it's just a matter of them getting hungry enough to cooporate. TRUST ME and every other parent who's had this problem...she will not starve. You have to be the parent and let her know that suppertime rules are important because her health is important to you. Maybe if she understands the reason we have to eat nutritious food, she'll work with you a little more.
I really hope this helps
Love, Heather