早く原因を見つけて、スランプを治して谷崎主任の期待にこたえないと。

I've got to find the cause quickly, get out of this slump and live up to Mr. Tanizaki's expectations.

説得不能を感知してか、黒崎先生はため息をついて席に着いた。

Perhaps having realized it was impossible to persuade her, Ms. Kurosaki sighed and sat down in her seat.