Do you think most people would look down on me for not going out or socialising very much?

I am a pretty, smart girl. I am finishing my masters degree. A couple of years ago I stopped being friends with the group I had known as I went through a patch of depression and it turns out thhey were not very nice people. Also, I come from an emotionally abusive family that have filled my head with all the reasons I am bad and incapable and likely to fail in my endeavours. Resultantly, I became quite reclusive and concentrated on the one thing I could determine in my life; my studies. It paid off and I came away with a first cl degree last year for my BA. This year I have the opportunity to do this great internship at an art gallery in my hometown but I am such an isolated girl. I never go out. I have spent the summer writing my thesis and watching films and learning new things. I still live with my family. The one thing holding me back from applying for this internship is I feel so different to most people precisely because I am not hugely social. I would feel so saddened and crestfallen were I to apply and do this internship only to have the staff there make me feel bad or inferior for being different and unsocial. Also, I have problems with social anxiety disorder. The requirements of the job do not seem to involve presentations or leading groups but more so behind the scenes working alone and with the team so I feel like I would be OK but I worry they would require more in the way of public speaking and I freak out and panic. I just about handle my anxiety in regular life but I am more reserved and inhibited as a person. I am deliberate rather than spontaneous throwing caution to the wind kind of person. Anyway, all of this holds me back from applying for this internship. I have the grades and potentially it could be great but I worry about these things. I became 'unsocial' I guess because I was dissapointed and fed up with people; my last two boyfriends were verbally abusive when I had only been kind, my family are dysfunctional of which I am the youngest, and my friends hurt me and found it amusing when I began to experience depression at the end of High School. Most people have not had these problems it seems and while it makes sense to me that I would retreat from society, most people see you as weird for it.