I feel embarassed , since, yes, of course, you can be right, but I was not expecting an answer...
Since the paradox of the barber (thinking of the barber as a man) is not just a joke, but is one of examples of self-referring sentences from which raised the modern mathematical logic-I can be wrong or at least imprecise, I don't know the subject well .

I could restate the problem in this way :
" This sentence is false"
Question : Is the the above question true or false?
Ciao
Emanuela