From wikipedia:
Thevulva(plural: vulvas or vulvae; derived from Latin for wrapper or covering) consists of the externalfemale sex organs. The vulva includes themons pubis(or mons veneris),labia majora,labia minora,clitoris,vestibular bulbs,vulval vestibule,urinary meatus, thevaginal opening,hymen, andBartholin'sandSkene'svestibularglands. The urinary meatus is also included as it opens into the vulval vestibule
So "vulva" includes the mons pubis and labia (the parts you can see from the front when standing). It also includes the vaginal opening (but not the complete vagina) although you would only see that part if the contestant was lying down legs akimbo to the camera. So the presenter repeatedly referring to "vagina" is completely incorrect. Vulva would certainly be the appropriate definition.
It baffles me as this is a programme that holds itself out as cool, modern, no holds barred, "let's call a spade a spade" and yet can't get the terminology right.
I know women like that in real life, talking about "getting my vagina waxed" (er no dear you don't have any hair inside your vagina) but "can't" use the word vulva because "it's awful, it makes me cringe". As I say, baffled. Just, why? If you're giving someone a close up view of your flaps, why be so coy about a completely correct word?