EID in this case stands for "Emerging Infectious Disease". The EMD software has an EIDS tool, which stands for "Emerging Infectious Disease Screening". So as hkrharry stated, in this case, they are stating that the patient has signs and symptoms of COVID-19. Some agencies will state "PPE ALERT" or another equivalent term.
The tool, as of a month or 2 ago was configured more to screen for Ebola (the last EID threat we faced), so it can be updated to screen for whatever the current threat/pandemic is.