Smiling and turning away/looking down, what does it mean?

Anonymous
I've been talking to this girl and I have noticed that, while she will usually maintain eye contact, when I make her smile she'll either turn away (while still holding that big smile) or give me one of those coy little smiles and look down.

I wish she could just look at me because I love her smile. I can make her smile often but she will rarely look at me, what gives?!
Smiling and turning away/looking down, what does it mean?
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