She'll be fine. Toddlers do well at regulating their food intake and it will be okay. You're a good mom.
She's so busy learning and loving life right now that food isn't as important to her.
The rice cakes may be too filiing for her and if it was me, I would try cutting those (and all snacks) out of her diet and just offer her regular meals.
She'll come around and the more relaxed you are about it, the better for her becuase it won't become an issue of control.
If it would make you feel better, talk to your pediatrician or do some online research about toddler eating habits. I think you would be reassured that all is well.