I think a lot of people experience at least some mild form of social anxiety, especially in situations where they are confronted with a great number of strangers. You might not notice it, but that is just because, probably just like you, the others don't want to show their anxiety to the outer world.
So I think one thing I would advice is, just try to not worry too much :> I know it's easier said than done, I have my own experience with anxiety, but what I've learnt in the past years is that there are really a lot of people who feel similar, they just might not be showing it.
That said, if you feel like your anxiety is really bad and has a huge negative impact on your life, you might want to see a counsellor for it. I get that sadly, there's still kind of a stigma against that kind of stuff, but seriously: Your mental health is just as important as your physical well being.
Unfortunately, I don't know how easy or hard it is in different countries to get in line for some counselling. Universities tend to offer free services for their students and might be able to get you into contact with someone.
But yeah, if you find you're encountering severe problems, please don't hesitate to try and get some help!
Take care everyone :>