此句错在 accuse 后面跟了 that 引导的宾语从句。根据英语习惯，accused 后不能接 that 从句，要表示“指责（指控、控告）某人做某事”，其常用的句式为：accuse sb of doing sth。如：

The police accused him of stealing. 警方控告他偷盗。

He accused me of having neglected my duty. 他指责我玩忽职守。

She accused him of blocking her promotion. 她指责他阻挠自己的升迁。

She accused him of cheating, but he denied it. 她指控他欺诈，但他否认了。

They accused the minister of beingsoft on crime. 他们指责部长对犯罪行为态度不够强硬。

所以，你的句子应改为：

People accused her of trying to cash in on her daughter’s fame.人们指责她企图利用女儿的名声来赚钱。