Refers to hepatitis in general. It is an antiquated expression of obscure origin. It's not well known what the cud part is. It seems very out of place. Indeed, HEPA means liver. Hepatitis is an inflammation of the liver, not any kind of genitals. However, it can be sexually transmitted. So that loosely connects it to the word cunt. The additional T in hepatittis is a mispronunciation by lay people who weren't well versed in medical terms. So what is known about the expression is that there were at least two drifts from its original form. Indeed it was like a game of telephone. Now it is regarded as a very shocking phrase using the word cunt. What's more, it makes no distinction about a person's gender. Men and women alike can contract hepatittis of the cunt
I cannot go in that public bathroom. The toilets are filthy. That'll give you hepatittis of the cunt.