YOU SAID:
She was wondering how she could ask me some questions after the exam.
INTO JAPANESE
彼女は試験後にどうやって私に質問をすることができるのだろうと思っていました。
BACK INTO ENGLISH
She wondered how she could ask me questions after the exam.
INTO JAPANESE
彼女は試験後にどうやって私に質問できるのだろうと思った。
BACK INTO ENGLISH
She wondered how she could ask me questions after the exam.
That didn't even make that much sense in English.