Refusal to eat meat, particularly beef, is very common in the toddler years, Mary, and nothing to worry about. Sometimes the smell is what causes the child to refuse tasting the foods, and meat has a very obvious odor when cooked. Dental changes, like molars coming in, can make it harder to chew. Whatever the case, meat is not a required part of anyone's meal. Toddlers will often eat legumes like baked beans or cheese-based dishes, which provide plenty of protein.
Protein malnutrition is very rare in the United States, Mary, so relax. Your daughter will be asking for meat soon enough. You can also give her a children's multivitamin with iron every few days – no high potency vitamins, please! – but check with your pediatrician first to see if it is even necessary.
Our parenting advice is given as suggestions only. We recommend you also consult your healthcare provider, and urge you to contact them immediately if your question is urgent or about a medical condition.