Clickbait.
Men were definitely in privileged position then (although not as much as some feminists would make you think), so why would anybody fake to be a woman?!
“Virgin”
She had some male favorites.
Why she not married?
Pretty simple. If she married, she would had to give away some power to her husband, and obviously, she did not want to do that!
Standard problem of almost all female rulers in the past - they had to remain single, if they wanted the absolute power!
After the death of Peter the Great, Russia entered a “century of women”.
Over a century, with two very short interruptions, Tzarinas Catherine I, Anna, Elisabeth, and Catherine II (the Great) ruled Russia.
Two were single, two were widows.
None of them could marry, as then she would have to share power with husband. So they just kept some boyfriends, and stayed single. Seems pretty modern.
Righty-O!!!