I'd bet it's not abnormal.
And, to ease your feelings and expand your mind and grow as a person, it might be an interesting exercise to explore why you care what people think of you.
There are those in small towns, and those with morals clauses in their work contracts, and in situations where they must be careful. But if your real reason is caring about strangers (or even mild acquaintances, like restaurant staff) opinions of you, you might have a happier life to quit caring about that.
Far easier said than done, I'm aware. But I highly recommend it. My life has become amazing for stopping caring what people think of me.