Zen, it doesn't matter if this one woman doesn't like you. You only have to be able to work with each other, not be friends. Put your best foot forward, be professional, meet her with a positive attitude, and get your work done. It does not matter if she doesn't like you. You know the truth about yourself, that you are a worthwhile person with many good qualities. If you are positive and hardworking, the other group members will see this, and they will fall in line with you to handle this woman you are scared of, if indeed she is being pissy and negative and preventing the group from doing good work. You take the high road. She may follow suit.

I think you are creating this pressure for yourself. If you stop doing it, the pressure will be gone.