She said she likes me but never talks to me first?

Anonymous
I like this shy girl and she said she likes me too after I admitted my feelings towards her. I asked her out and she said yes. We are going on a date this weekend.

However, she never talks to me first when she sees me in school. She'd smile sweetly at me and we'd greet each other but she WON'T talk to me unless I say something first. She never comes to me and strikes up a conversation. It's always me who approaches her to talk.

I don't mind to take the initiative since I'm the guy. But sometimes I can't help but wonder if she really likes talking to me if she never approaches me on her own. I know she is shy but she'd talk to me if she really likes me, right? Correct me if I'm wrong.

I really enjoy talking to her but I'm worried if I'd annoy her if I'm always the one who makes the first move.
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She said she likes me but never talks to me first?
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