Children of 2 year old are often picky' I do know they like to feed themselves , also cut back on the milk as that is feeding her, she will be more hungry and ready to eat, milk is food, water and some juice is good. Oats are good, cereal, yoghort , eggs, fingers of toast with jelly /peanut butter, make sure there is no allergy, fruits, Bananas are a wonderful fruit for a child .Later in the day , pasta, beans, chicken pieces, fish sticks, chunks of cheese, noodle chicken stars and soups .