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She's challenging the assertion 'transwomen ARE women'. If you believe this, it means people born men who are attracted to women, then identify as women, are now lesbians - and lesbians should have no trouble sleeping with them. Despite the male, fully functioning genitalia (female penises). They need to 'check their privilege' and examine their internal prejudice for saying they only like women (with vaginas).
The TAs (trans-activists) say the same of natal born women. They need to check their 'cis' privilege and to get over the fact that transwomen, because they ARE women, want access to female only spaces. Despite remaining attracted to those women and having male genitalia.
Magdalen Burns blows a hole through the trans ideology by pointing this out. I'm sure she, like most women, would have very little problem if it remained purely a feminine identity, rather than appropriating the identity of women and all that this entails.
Lesbians are increasingly more targeted by transwomen. Like heterosexual women, their lesbian only spaces are being taken over by transwomen with 'female penises' applying sexual pressure (see 'cotton ceiling').