wary of

【原文】
But it faces uncertain odds of success, as big Internet and media companies are wary of setting the precedent that they should help cover those costs.

【単語の意味（英語）】
careful when dealing with somebody or something because you think that there may be a danger or problem

【単語の意味（日本語）】
～に慎重な、用心深い

【コメント】
（類義語）
「油断のない」 attentive, alert, watchful, observant, vigilant
「用心深い」 careful, cautious, prudent, watchful