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の失礼な態度に

at someone’s rude attitude

→ の
phrase Rare #34,492
at someone’s rude attitude の marks possession, meaning “someone’s,” while に marks what a feeling or reaction is directed toward. The person referred to by の depends on context.
JA: 彼の失礼な態度には本当に困っています。
EN: I’m really troubled by his rude attitude.

彼の失礼な態度には腹が立つ。

His rude attitude makes me angry.

あいつの失礼な態度にはもう限界だよ。

I've had enough of his rude attitude.

私は彼の失礼な態度に我慢できなかった。

I couldn't put up with his rude attitude.

私たちはこれ以上彼らの失礼な態度に我慢できません。

We can’t put up with their rude behavior any longer.

彼らの失礼な態度には腹が立つ。

Their rude attitude makes me angry.