While her brother's interest in her seemed to be deeply inappropriate, Lukyanova has often said she has no interest in having a sexual relationship with anybody. She's claimed on many occasions to be asexual.
Being asexual apparently isn't a barrier to marriage for her, though. She married a childhood friend named Dmitry Shkrabov, who financially and emotionally supports her. They don't have any children because, apparently, on Venus, children don't exist, and everybody is celibate. We're not clear on how her species reproduces.