How to overcome my anxiety and shyness? It's really making me feel lonely?

You seem like a really bright person. Also, about the whole private school thing... Don't feel left out! I know it's hard sometimes, but one of the reasons you are getting left out is because you are so different, and that's a wonderful thing. Strive to be unique. Just be your outgoing self! Don't cover yourself up with shyness. Your chances of getting friends that way are less. Just be yourself! Don't worry about what other people think. Get yourself involved in activities, and study really hard. Don't overwhelm yourself. If you want school to be your priority, do less activities and spend a lot of time studying. Then you can try joining academic clubs. You can also try doing things outside of school. Consider this your calling to try and blossom! Good luck(: