If it comforts anyhow, my son also ate almost everytime boiled-frozen-refrozen foods. He is not allergic or anything but it was just easier to make a bigger portion of food and freeze it. Then it was always almost ready to be served. I couldn't make separate food for him every time he needed to eat. Ok, fruits and vegetables he consumed were mainly fresh or only boiled... Now it's changing, he will slowly start to eat the same food as the rest of the family. Which is probably not as healthy as it was before. ':)
I'm happy to hear that she is able to eat more different foods with time! :) And as you said, it is a very healthy diet and she is a healthy, happy kid. You are doing a great job!