I think the "mother has sex with their female students" is the pitfall of that idea.
I mean, if she only slept with one of them, what would be the chances that it would stay a secret? Except, the girl blackmails her afterward to get good grades while being lazy. But then the rumors would just start some months later...
I also think that real hermaphrodites have more health issues than average, though I'm not sure about that.
Well... maybe do it the other way...
- There is no stepson but a stepdaughter... maybe the daughter doesn't know about the gender of her stepmom...
- The mother is lonely but knows how hard it is to find someone who can relieve her urges while keeping her secret (She had to move more than once after some people around her found out her secret). She had no sex since the death of her husband...
Then the daughter could start dating a guy and bring him home occasionally. When the daughter is not around, he flirts with the mother and after a while, she crushes on him. The daughter doesn't have sex with him and could still be a virgin... The mom could find out that her stepdaughter leaves the guy high and dry and maybe overhear a phone call where he tells a friend that he'll come to the party but has to dump his girlfriend first... This could be the justification to make a move on him... persuading him to stay by showing tits and sucking his cock. He could end like "If she would only suck me like that!"
Afterward, she could feel guilty and talks with her daughter about her boyfriend... asks her questions about their relationship... if they already had sex... or even a blowjob... trying to give her a broad hint... the daughter could answer "Not yet... he had some girls before me and I'm afraid that he could dump me if he doesn't enjoy it..." - "Have you practiced? I mean with a banana or sth..." - "A hundred times... but... it's not the same, is it? I'd need a penis to practice." - "You just have to try it... your dad was a real bad cocksucker on our first date but it didn't matter..." - (upset) "What are you talking about? You're gonna say dad was gay?" - "Um... err... no... maybe... err... technically... but..." - "But what???" - (whispering) "I... I... I'm a hermaphrodite" - "What does that mean?" - "You never saw me in a bikini, right?" - "So what?" - "That's because you would see a bulge down there..." - (irritated) "You're a shemale?" (that hurts) - (broken voice) "No... I'm a hermaphrodite... I have a penis and a vagina..." - (really upset) "I don't believe you!" - "I am... you can google it... it's rare but..." - (unbelieving voice) "Show me!" ... showing could lead to some curious touching and a growing cock... some days later, the stepdaughter could have the crazy idea to practice with her... after that, the stepmother could open to her stepdaughter and tell her urges and that she prefers men... the daughter could come up with the idea to hide the penis underneath a corset and some tape, date someone and let him fuck her doggy style with closed legs... the daughter wouldn't expect that it was her boyfriend who should be the first one to fuck her stepmother like that...