I am a picky eater myself and i'm proud of it.
here are some of my points.
1) DON'T TAKE IT PERSONALLY. A lot of parents act this way -- if a child eats well "Oh, I'm so proud", if the opposite "What did I do wrong?" or even better "He/she is defying my authority by refusing to eat". Then they turn it into a power struggle and that's NOT a way to go about a healthy diet.
2) IF THEY'RE NOT HUNGRY. Or they really dislike it. Let them be. Unless it is a serious medical condition or a very strict diet. It is just wrong to force onself to eat more when not hungry, and then "reward" with even more food (the desert). Then we wonder why obesity and eating disorders are on epidemic levels.
3) WHAT ABOUT YOUR COOKING SKILLS? No offense to anyone, but it seems so popular for a modern day mother to hate the kitchen. So what kind of food you can make if you hate it? Learn to cook, and it will be a pleasure for everyone.
4) HEALTHY FOOD CAN BE TASTY. Yesterday I went to a vegan food presentation. oh wow. You can make incredible things with the most simple ingredients and very little time. Veggies don't have to be bland. Just find a way to make them right