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]
(..) Nope! and imagine what it'd be like when summer does come. Bees'll Buzz, Kids'll blow dandelion fuzz. And I'll be doing whatever snow does in summer. A drink in my hand, My snow up against the burning sand. Prob'ly getting gorgeously tanned in Summer. I'll finally see a summer breeze, (..)2013 Frozen