Dov - that seemed like a perfectly kind name. It reminded her of the bird, which was usually used metaphorically for peace. If her mind was trying to tell her something, maybe it was the idea that she was going to get a break, soon?
"Um...are you...are you real?" It seemed like a stupid question to ask. Juliet knew she was inside of her own mind; something along the lines of lucid dreaming always had her aware of the idea that she was asleep, and still the fear did not abate. But this was a curious change, and she had to wonder at it's origin. If her mind was making him up, maybe he would say so?