Yes, you should eat egg yolk. But limit quantity to 1 per day. Egg yolk is rich in Iron, Vitamin B2, B12,choline and D, all of which are absent in the egg whites.. Egg yolk also contains protein & good fats. Most of the nutrients are present in egg yolk. Giving up egg yolk completely means missing the nutrients. But remember to limit it to 1 or 2 only in one day if you are on weight loss journey.