The former first minister also addresses rumours about her sexuality, in particular an unfounded claim that she was having an affair with a female French diplomat.
“There were slightly different versions of the story, but the consistent theme seemed to be that I was having a torrid lesbian affair,” she writes.
“In one of the variants of the story, there had been a violent encounter between us, involving an iron, in Edinburgh’s Balmoral Hotel. We had also supposedly set up a love nest, in a house in Bridge of Allan, that I had bought from Andy Murray’s mum, Judy.”
Sturgeon writes that she would normally have ignored such “wild stories from the darker recesses of social media,” but this one ended up being discussed by her neighbours, family and friends.
She describes much of the social media and online comment as being driven by homophobia.
“For many of those peddling it, “lesbian” and “gay” are meant as insults. However, while the fact I was being lied about got under my skin, the nature of the insult itself was water off a duck’s back,” she writes.
“Long-term relationships with men have accounted for more than thirty years of my life, but I have never considered sexuality, my own included, to be binary. Moreover, sexual relationships should be private matters.”
Frankly will be published on Thursday 14 August.