0 used to show that you feel embarrassed or shy
1 showing a shy or a modest (= not making yourself seem important) character or way of behaving:
I think his aw-shucks style and rhetorical flourishes are refreshing.
As aw-shucks as that sounds, she really does put collaboration over competition.
The prosecutor referred to this as the aw shucks defense.
The inspired script is both sinfully cynical and aw-shucks sweet.
He was the aw-shucks guy.