It's interesting that you said, "The reason why she wants to tie the woman up is kind of revenge for the constraints which patriarchal society gave." But the woman whom our protagonist wants to tie up is not completely free. And from the context she ties the woman up so that John will not see it. In other words, I don't really see the intention or the effects of revenge in this act.
On the other hand, indeed sometimes women can help in oppressing other women --which is very sad.