If your status is Renewal Complete or Awaiting State Review then you are finished. If you have a current card, your new card will not be issued until the day after your current card's expiration date. If your card requires review then UDOH will process the request.
DHHS does not mail the cards. They are issued electronically in the EVS. You will not receive a physical card. You are welcome to print out the card from EVS, or you may display it on a smartphone while at the pharmacy.