She said she doesn't think she is going to pass her exam next month.
She told me she feels like she is going to fail her test next month.
ーShe said she doesn't think she is going to pass her exam next month.
「彼女は来月の試験に受からないだろうと言った。」
She said の後は、she doesn't think she is going to pass her exam「試験に合格すると思わない」のように表現できます。
ーShe told me she feels like she is going to fail her test next month.
「彼女は来月の試験に落ちる気がすると言った。」
She told me の後ろは、she feels like she is going to fail her test 「試験に落ちる気がする」のように表現することもできます。
ご参考まで!