I can't give you advice on how to get over it because I still have no figured out how but know your not alone. I worry about the stupidest things while running like, can they see me sweating? Am I running weird? If I stop to talk a walk break will they think I'm lazy? Can they see my fat giggle? The list goes on and on. I blame it on having social anxiety disorder, I think that everyone is thinking negative things about me and only me.
To push past it and just do it I listen to music. Sing with the song in your head, try to make your feet hit the ground to the beat, count how many songs play before you have to either take a walking break or before you make it home. Just try to keep your mind off of it and push yourself to run