Eggs are a wonder food if you are not sensitive to them (usually a sensitivity to eggs causes a headache). You are correct that dairy comes from a cow, so eggs are not considered dairy. The Natural Health Movement is re-embracing eggs as one of Nature's great nutritional foods because of new understanding about the beneficial role of fats and cholesterol molecules as cell membrane repair factors, brain food, and the cholesterol the body craves to make hormones, protect nerves, and generate energy via beta oxidation on the mitochondrial membranes. Eggs and low carb veggies should provide you a good array of omelets, etc. for your diet.