Shy girls and hugs?

Anonymous
I have a crush on a shy girl. We've become pretty good friends, but she's still shy in some ways. I've kinda wanted to give her goodbye hugs, but I don't know how she'll take it.

Also, I've only ever seen her give hugs to her best friend and to her family.

So, I have a couple questions. First, how do you think she as a shy girl would react if I just went up and hugged her goodbye one time? Second, do you think she, as a shy girl, would ever initiate a hug when we've never hugged before? Finally, what would you suggest I do in this situation?

One other thing, we go to a youth group together and sometimes when there's a few people standing around and talking she'll come over and lean on someone's shoulder -- usually her best friend's shoulder or one of the (male) youth leaders' shoulders. But never on mine. This is something I can't initiate like I potentially could a hug -- can I do anything to hint to her, "lean on me"?
Updates
+1 y
She and her family are leaving tonight for a week, and my family was at their house for dinner, and as we were leaving she put out her hand to shake. I just went up and hugged her. It wasn't a full-on hug, just a side hug.
Updates
+1 y
Anyways, I'll see her in a week and I'll find out if that "broke the space bubble" at all. Thanks everyone for the advice.
Shy girls and hugs?
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