What scares you more, that you will not like them, or that they will not like you?
Used to have the same phobia. For me, there were alot of layers to unravel. Once i could accept myself, without shame, or fear - it became much easier to let others in, and even to be around others.
I also realized that I don't need to please everyone. This took alot of pressure off. Like newman said - it's best to be yourself, but it's not always an easy thing to do, especially when there are so many "sides" to each one of us. Eye contact helps to connect with people, but when we are afraid to let people in - it can be quite scary to face someone. We must first face ourselves.
Does any of this resonate with you?
Can you describe your feelings in more detail?