Vegetarianism is great for your health, as long as you are getting enough nutrients, especially protein and iron. It's really not so difficult to get your protein from non-meat sources, and vegetarian sources of protein are much healthier than meat. A few of your options are dairy (milk, yogurt, eggs if you want to eat them) beans, spinach and other dark, leafy greens, nuts, and soybeans, which come in a variety of forms including in shells, as soymilk, or as tofu. If you alternate between all these sources, you will definitely get enough protein. To give you an idea, you need about 60 grams in a day. A glass of milk provides 8 grams. Keep track of how much protein you eat in a meat-free day, while making an effort to eat sources of protein, and you will see that it's easy to get sufficient protein without eating meat.