She was 'burning for' a chance to prove herself. [=she wanted very much to get a chance to prove herself]
('humorous') “We were talking about you last night.” “That explains why I 'felt my ears burning'.”
She was 'burning with' anger at his rudeness. [=she was very angry because of his rudeness]
(..) Left. The first night's the toughest. No doubt about it. They march you in naked as the day you were born... ...skin burning and half-blind from that delousing shit. And when they put you in that cell... ...and those bars slam home... ...that's when you know it's for real. Old life blown away (..)1994 The Shawshank Redemption