Do I Have The Right to Feel this way?

yes, I know exactly how you feel. My best friend is like that alot of the time. I can tell that she wants to have an interesting and active social life but she is afraid to put herself out there for fear of failure. She isnt the most interesting person but she is a beautiful soul and a good friend and thats all anyone could hope from someone. Some people are less social and thats okay. If I were you I would try to talk to someone atleast though so that you dont feel so alone. I bet there is someone out there in big NY who is just as lonely as you and looks for companionship.