My son has had egg allergy since he was 9 months (now he is 7 1/2).
There is a product called Egg Replacement that can be bought at stores like Sprouts or Whole Foods. It can be used for baking and cooking when egg is needed. We avoided eggs the second we found out about his allergy, he now has just started to eat items with egg cooked in it but still cannot eat and egg on it's own. I would bring jack his own cake to bday parties, cook panckaes without eggs and talked to cooks at every place we ate. Its hard but so worth it now!!
Also other things to avoid Chik fil a (egg is the batter) Sonice chicken strips (egg in the batter) and whataburger.
And read labels you be amazed how many things have egg (like Ranch dressing) And my advice on the things she loves, have her give them up now so she can have them later when she'll be wanting them in front of her friends and classmates.
The dr said the only thing that works to to stay away for the allergy and let the body reprogram itself. She may love the food now but she will love you more when she is a teenager and can eat egg products. So be tough she'll beat it.
I'm sure you get her tested every year, like we do and eventually she will outgrow it.