She was extremely stubborn and did not stop trying no matter what she was told.
"彼女は非常に頑固で何を言われても挑戦を止めなかった"
- She was extremely stubborn and did not stop trying no matter what she was told.
obduracyを使いたいです。
- Her obduracy kept her going no matter what anyone said.
この場合は、stubborn (か stubbornness) を使ったほうがいいと思います。