Protein powders, including egg protein powder, can be safely consumed by breastfeeding women as part of a balanced diet. However, it's always a good idea to check with your doctor before starting to use any new supplement while breastfeeding, just to be on the safe side.
Breastfeeding women generally need more protein than non-breastfeeding women to support milk production and their own recovery after childbirth. A balanced diet that includes protein-rich foods can provide the necessary amount of protein. If a protein powder is used as a supplement, it's important to make sure that it fits within the overall daily calorie and nutrient needs, and to choose a product that is of high quality and free of contaminants.
It's also a good idea to choose a protein powder that is lactose-free, as some women may experience digestive issues if they consume lactose while breastfeeding.