我觉得，这个句子中，ways 应改为单数，因为The hidden way是takes aim的主语：

The hidden way beauty shapes women's lives takes aim at a culture that tells women they should be beautiful, and that they should never feel beautiful enough.

句子成分划分如下：

The hidden way（主语） beauty shapes women's lives （定语从句，修饰way，省略了关系词）takes aim at （谓语。为了理解方便，把这个短语动词整体看待）a culture （宾语）that tells women they should be beautiful, and that they should never feel beautiful enough. （整体是定语从句修饰culture，其中，里面又包含两个宾语从句：they should be beautiful, and that they should never feel beautiful enough.）