It's worth noting the mutable nature of myths in Medusa's case in particular.
In the oldest forms of the story where she is recognizable as her own character, she was just a hideous monster who turned people to stone with her sheer ugliness and was, presumably, a bit of a public health hazard. This being when Medusa is a Gorgon, one of three. Perfect quest bait for a hero. Add in a King trying to get him killed with the quest so he can bang Perseus's mom and you've got enough drama to keep people interested.
That, however, wasn't sexy enough for the horny ass Greek artists, who began depicting her as a beautiful woman with snake hair and the myth changed into the more dramatic form of her being cursed by Minerva for defiling her temple with Poseidon (consent levels variable by story teller).
This changed the story from a generic heroic quest into the tragic form popular today, that tripped over its own horniness and fumbled the character motivations.
Possibly deliberately, as the myths became propaganda tools with various city states claiming this god or that hero as their patrons. And, ironically, the idea of Smexy Snake Lady Medusa might be a return to form, but that requires bringing up the phrase "proto-Indo-European" and you can't prove any of it, so all I'll say is, food for thought, Athena's early depictions also sometimes showed her as a sexy snake lady.
As a fun note, the idea of using a mirror to either petrify her with her own visage or to indirectly see her is a relatively new addition to the myth. In the shift from "hideous monster" to "smoking babe with magic snake hair and a gaze attack" there were versions of Perseus where his clever plan to slay her was... Killing her in her sleep.
Allegedly she was so hideous that anyone who gazed upon her would be petrified. It was her contrarian personal aesthetics that killed. Lethal vanity.
It's very Lovecraftian. Maybe its a Color Out of Space sort of thing.
Basillisks sometimes had to lock eyes to petrify, though the cockatrice version spit extremely corrosive acid. I suspect there's a link by storytellers unifying their world building.
I know of some women who have practiced a withering stare that can paralyze with fear or shame. I seek to master such techniques.