[subject] + 不屑(于) + [verb phrase]
[subject] + 对 + [noun] + 不屑一顾
一脸不屑 / 不屑的 + [noun]
不屑 goes before a verb and says someone thinks that action is beneath them, so they won't do it. It carries contempt for the action or for the people involved. It's neutral to written, and 不屑于 is more formal still.
不想 says you don't want to. 不屑 says the thing isn't worth your time, and that you look down on it.
That contempt is the whole meaning, so 不屑 is no way to turn something down politely or to say what you don't like.
不屑 also names the look or tone: 一脸不屑, 不屑的眼神, 不屑地笑了笑.
The four-character 不屑一顾, "not worth a glance", takes what is dismissed through 对.