Idek how one could consider someone "out of their league." Like, did you come to the States & she beat you in a Science Fair? If so, she IS out of your league.
Or is it like, one of those "uh, she's hot" things? If so...lolwut. Tbh, just keep on babbling to her. How well do you even know her? Like, WTF do you find so intimidating about that chick that she causes you anxiety?
P.S. There is only one man on earth who would cause me anxiety due to his HOTNESS & that is TIM CURRY. SEXY AF.