Hi mum, you are absolutely right on both the counts - eggs are very good in their protein content, but too much can also make the body warm.
At this age, you can safely give her an egg a day. You can give this to her in various forms, such as boiled, poached, scrambled, omelet, or even as a curry or as part of another dish. For the first few days when you start her on eggs, observe her to see if she is comfortable.
Barkha Agrawal