If you "told me" to delete a picture that included you that I had taken in a public place, I would "tell you" no.
If you politely asked, I would generally delete the picture, depending on whether or not there was a reason that I felt I wanted the picture and whether or not there was a way to reproduce the picture without you in it. For example, if Bigfoot had run through the frame while I was taking the picture, I'd be less likely to delete it.