I kind of know what you mean, the fact that in England at least, it's the 'worst' swear word says a lot.
Swear words are interesting and in general show the hierarchy. When men are insulted, the insults tend to relate to an inability to get laid or to women they are related to. There's also a lot which refer to being penetrated as if that is the worst thing possible (homophobic/ misogynistic).
Words like dick, cock, nob are considered quite mild (although can be delivered with aplomb
).
When women are insulted it's generally comparing them to animals. Or that they get laid too easily.
I find it all v interesting.
On cunt. I believe the word used to be just a normal word, years and years ago. The fact it has been become 'the worst'. Says more about society than anything else.
I think looking at swearing in general through a feminist lens is interesting.
I also used to have a visceral reaction to it like you, OP. and I do not generally use it. It's been watered down in impact over the last 20 years or so I'd say though.