Why won't he ask me out?

im in 20s, he's in 30s. both single parents. I attend the church my parents go to (so he knows them). My friend told me im out of his league but that he's also quite attractive, he's always looking my way, waiting to smile and make eye contact. He even goes out of his way to find me alone and talk before or after church ends, but he never has moved it forward and asked for my number. I can feel there's a mutual attraction so im not sure if he's shy or maybe its weird that the church is so small and everyone is in everyones business. any thoughts? also, im not going to make the first move, but i smile , give eye contact, etc so he can get a clue.
Why won't he ask me out?
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