The million dollar question
Anyway, the question is do you want animal protein or not in your diet. If yes, then milk and broiler chicken eggs should not be a problem, as far as I am concerned, they are the same. You cannot get a cow from milk, neither can you get a hen or a cock from a broiler chicken egg, as someone rightly pointed out above, broiler eggs are not fertilised.
So don't get confused and worry over these petty issues. The question to ask is do you want an animal source of protein in your diet or not. Please note, from a medical point of view, no plant protein is complete, and that includes soya. A complete protein is defined as one which contains all the 12 essential amino acids that we require for metabolism. Egg protein is a complete protein
so is meat. That is the reason why from the time of our ancestors we have a combination of cereals and pulses in our diet. For example, rice and dal, rice and moong preparation, chapati and moong, etc. They complement for each others amino acid deficiency.