The word "Pudendum" is a venerable medical term, with Latin roots, for the female external genitalia. When used in a medical setting, it has a clear clinical meaning without any attached shaming or distastefulness.
As it is used by Memebox, " Pudenda" refers to the plural, which may be correct since the card is written for the use of many women, I suppose, but it is unusual.
At one time, there was a form of regional anesthesia used by an Obstetrician just prior to delivery called a " pudendal block". Basically, it allowed the OB to use obstetrical forceps and create an episiotomy without pain in the perineal tissues. Did nothing to lessen the pain of labor or dull much of the actual delivery, for that matter, at least from my experience as an OB nurse at the time.
It was later known as a " saddle block" because the part of the body which was numbed is, of course, the part of the female anatomy which sits on a saddle. Some women having natural childbirth do still have saddle blocks, which the OB may write in the medical chart as a " Pudendal block".
Anyway, I don't really see the difference between this and the word " vulva" as the terms are referring to the same place, the female external genitalia.