Could it be "Nihal from the Land of the Wind"? She is half-elf, can't really use magic so she becomes a dragonrider, her dragon OARF lost his previous rider into battle and doesn't like Nihal at first.
http://www.liciatroisi.it/books/nihal-eng/
I found a detailed summary but only in italian, should be easy to automatically translate it: https://it.wikipedia.org/wiki/Nihal

Could it be Nihal from the Land of the Wind? She is half-elf, can't really use magic so she becomes a dragonrider, her dragon OARF lost his previous rider into battle and doesn't like Nihal at first.

I found a detailed summary but only in Italian on the Italian Wikipedia page for Nihal, should be easy to automatically translate it.