The project would also have told you that in order to be taken seriously by sex workers, who deal with countless amounts of shitty emails from would be models/photographers/SEO experts/website designers/porn companies/fucking sous chefs (why not? Everyone else thinks they can offer something of use), if you are indeed a representative of the BBC, operating on BBC business, then you would use your BBC details.
You won't be the first BBC documentary on sex work, and you won't be the last. I wouldn't hide your blushes just yet. And I sincerely doubt the BBC gives a toss either.
Personally, I don't cam, I'm just here for the popcorn.