When I arrived and started she kept looking at me weird.
Why did you think she was looking at you weird?
I don't know but I felt as if she was trying to penetrate my soul by looking at me with those eyes
You should've asked her why she was staring at you. There was probably a good reason.
I couldn't ask her, I was too busy fearing that she wanted to harm me.
Fear just gets in the way. I might have just walked up over to her and asked politely if she was okay. Then it could have started a conversation that was plain friendly and nothing hurtful.