I agree with Rusty.
The sentence refers to the people around you, who you might fear they'll judge you for doing things that are normally not done alone. These people are perfect strangers that even if they judge you, you will never see them again. So, since you don't know them and they will never be a part of your life, it doesn't matter what their opinion on you is.
The writer even says that maybe they will judge you positively and you will become inspiration to them, since you're brave enough to go to the movies alone.