Great comments from Helen Joyce:
Helen Joyce, director of advocacy at sex-based rights charity Sex Matters, said Mr Burnham's comments 'reveal a lack of understanding'.
She added: 'Any politician who aspires to be prime minister needs to have a better grasp of what voters want than to think that fringe trans activist views are mainstream.
'All the polling shows most people want single-sex provision, and don't think that men who identify as women should be allowed into women-only spaces.
'This holds across the board, from everyday spaces like toilets and changing rooms to women's sport and specialist services like rape crisis centres. The majority of women who regard single-sex provision as essential for privacy, dignity and safety shouldn't have to explain why trans-identifying men need to keep out.
'It's not because they're seeking to "abuse a women's space or encroach on women's safety" – it's because they're men, simple as that.
'Dismissing this debate as "polarised" and "hateful" is a cheap rhetorical move.
'Women asserting our boundaries aren't hateful. No matter how carefully and kindly we explain our own needs, we're subjected to a torrent of misogynistic threats. This isn't a matter of "both sides".'