My girlfriend won't look me in the eye... What to do?

So i have an angel who i love more than anyone but there is a problem that she doesn't look at me when we talk. She just looks down or else and looks at me for a sec and again looks away. We have been together for almost 3 years and i have been very open with her. I have shared the most embarrassing stuff & confide in her everything. She is my angel and i love her but the way she ignores me hurts. I wanna look into her eyes & want her to feel comfortable around me.. Just like i do. I told this to her and she said she is just shy. But not looking at me just makes me feel ugly and sad. Please help me. What can i do to break this wall? I never misbehave or even touch her. I just want her to be free. :(
My girlfriend won't look me in the eye... What to do?
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