6 and a half weeks, terrified

My biggest fear ever is giving birth, hospitals and needles! Anyone mentions a needle to me and I feel like I'm going to faint! I'm 6 and a half weeks pregnant and I am absolutely terrified of giving birth! I just don't know if I'll be able to do it! I'm not very good with pain and the thought of giving birth makes me feel less excited about this baby? Am I a horrible person for that?