There is a difference between female characters who are flawed and complicated and human, and characters who are misogynistic caricatures or burdened by narrative misogyny (not a setting that is misogynistic, but misogyny within the writing).
Sometimes complex female characters are still burned by a writer or narrative that is misogynistic.
burdened* but burned works too
By narrative misogyny, I mean the creator having misogynistic ideas expressed via the character or that limit the character, which is different from a setting that explores institutional or cultural sexism (which can be done in Feminist ways or sexist ways).
A setting can have sexism but the story not *be* sexist is that sexism is interrogated by the narrative and proven false, even if not structurally dismantled.
A female character can be Strong but ultimately written in a sexist way.
A female character can be Strong but ultimately written in a sexist way.