Hi Marina-
I have had the same problem with my daughter. She loves silverware, but just ends up playing with her food. What I do is let her have a baby spoon at the same time as I am feeding her. Sh really likes that a lot because she feels like she is feeding herself. I like it because I know she's actually getting some of it into her mouth.
Keep in mind that babies/toddlers only need a small amount of food to feel full. Their portion size is supposed to be the size of THEIR fist, which is tiny! As long as your daughter is eating something, she should be just fine. They'll eat when they're hungry :-).