Well, the NHC has it just exiting the coast just before the area where the Peninsula juts out.

But, the very nature of the system has been more of a midlevel system with a weaker surface reflection. I don't believe that Fay will suffer normally the damage that many a vigorous low level circulation has had at the hands of Haiti.

EDIT: Actually, it's well over the water now. It should clear the Peninsula within the next few hours.