“We don’t really know how to say kyriarchy, but we do know what it is,” claim Sidonie Bertrand-Shelton and Elena Guthrie. As hosts of Kicking the Kyriarchy (iTunes), they get straight down to business: they are white and privileged, but determined to give a voice to those who aren’t. Gender equality isn’t where feminism ends, so their “intersectional feminist podcast” tackles issues faced by disabled, black, white and transgender women.

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Periods and beauty are covered, and there is an episode on “Why is my curriculum so white?” This is a podcast that prefers to ask questions and get knocked back, rather than play it safe. It is a good technique, particularly in the episode about sex workers. Guest Isla shuts down a question about how much she earns, as many people would. “I’ve learned that the best way I can fight the patriarchy is making them pay for every ounce of my time with them,” she says. It is her personal theory, but perhaps not one that rings true for the whole of her profession.

Shelton and Guthrie wisely let their guests speak for themselves, rather than framing the conversation with too many questions, but they step in when it is necessary to make complicated issues more simple. “Can you explain quickly what subbing and domming is,” they ask Isla. They invite guests and listeners to “call them in” rather than call them out if they are making the wrong assumption or using an incorrect term. Although the hosts have a habit of describing most good things as “amazing” or “kickass” in early episodes, they find their stride later on and, fortunately, that melts away.

The latest instalment, which is about consent, is a hard-hitting, anger-inducing podcast. Guest Nadia Wager, who has researched gender violence, spells out the unfairness of bringing a rape case to court – and the way that women feel cheated out of the chance to tell their story. “The court case is not about you telling what happened,” she says. “It’s about the defence really having the chance to pick away at the case and just ask the questions they want.” These podcasters aren’t afraid to argue or admit when they are wrong, and they are definitely not afraid to push their cause further.

If you like this, try … Feminist Current.