He sent the letter out of malice.

他出于恶意寄出了这封信。

《牛津词典》

She did it out of malice.

她出于恶意做了这件事。

youdao

I suspect Ronnie tripped me so that I wouldn't be able to play tomorrow. He did it not as a joke but out of malice.

我怀疑罗尼是为了让我明天无法比赛而绊倒我的，他这么做并非开玩笑，而是出于恶意。

youdao

During the trial, his accuser admitted that she had not been raped and that she had fabricated the accusation out of malice.

BBC: Should sex case suspects be anonymous?

The economic damage caused by such allegations can be severe, a fact surely not lost on the OECD bureaucrats indeed the depth of the errors makes it difficult to rule out malice as a motivation.

FORBES: Using Joe And Jane's Money, The OECD Exploits Joe And Jane