[2][3] Her writing, speeches, and talks have criticized third-wave feminism, male feminists, the sex industry, exploitation of women in mass media, censorship, and gender identity legislation.

[20] She has lambasted feminist group Femen, who, she argued in 2013, was "making feminism palatable for the male gaze", presenting "a vision of female liberation that looks like a sexy, naked, thin, white, blonde woman".

"[8] More generally, she has said certain contemporary movements are "cult-like" in their efforts to shut down debates by calling people "phobic" (such as "whorephobic") or accusing them of "shaming" (as in "kink-shaming") if they fail to "toe the party line".

[8] In 2013, she called Twitter "a horrible place for feminism ... intellectual laziness is encouraged, oversimplification is mandatory, posturing is de rigueur, and bullying is rewarded".

[26] She told Mic in 2015 that this includes public education, a strong welfare state, retraining police officers, and offering exit services for women.

In 2015, Murphy challenged a photograph of Laverne Cox's nude body in a magazine as being "defined by a patriarchal/porn culture, through plastic surgery" and "a sexualized object for public consumption".

[32] In response, a Change.org petition was created in May 2015 by sex workers' lobby group Maggie's Toronto, accusing her of racism and using transphobic language, and demanding that rabble end Murphy's association with the site.

In an email to Murphy, rabble's publisher, Kim Elliott, stated that "the piece denie[d] the gendered identity of trans men who menstruate by implying that if a person has ovaries and a uterus, they are by virtue of those biological markers, a woman".

She told the Senate: "Treating gender as though it is either internal or a personal choice is dangerous and completely misunderstands how and why women are oppressed under patriarchy as a class of people ...

[49] At their public meeting in London,[50] she told Woman's Place UK, "I see no empathy for women and girls on the part of trans activists, that is to say, those pushing gender identity ideology and legislation.

[8][51][47][48] In late 2018, Twitter changed its policy on hateful conduct and harassment to officially prohibit intentionally calling a trans person by the wrong pronouns or using their pre-transition names.

[60][61] In July 2021, Murphy criticized Canadian leftists after churches were burned down in Canada due to the discovery of probable unmarked graves of Indigenous children on the sites of church-run residential schools.

Murphy stated that the graves were "to be fair, a horrifying stain on Canada's history..." but accused Canadian leftists of "advocating" for the destruction of Canadian buildings, describing it as "an entirely inappropriate thing for a person representing an organisation supposedly committed to protecting freedom of religion and assembly to do...", negatively comparing them to Antifa-led Black Lives Matter protests in Portland and Seattle, which she described as "riots".