From the Kentucky DNR site:
Public Health Implications:
The viruses that cause hemorrhagic disease do not infect humans, and people will not contract these diseases from eating meat from infected animals. Deer with hemorrhagic disease may be more susceptible to other diseases, however, and consumption of a sick-looking animal is not advised.
From Wikipedia:
Is my deer safe to eat?
Typically, deer that have or may have been affected by EHD should be safe to eat. None of the viruses in the Epizootic hemorrhagic disease serogroup affect humans (Howarth et al. 2001).
Methinks caution is advisable.