Every birth parent should meet with an objective counselor who can discuss parenting and adoption options. If they decide on an adoption, they should be able to work with a counselor who will oversee their medical care, be the liaison with the adoptive parent’s counselor or attorney regarding the birth parent’s needs and provide ongoing emotional support to the birth parent.
Usually, a shelter has already attended to the spay/neuter, the initial shots, and a veterinary clearance exam. If the cat's original situation left it with any medical challenges due to poor nutrition or neglect, these have usually already begun to be addressed by the shelter. You may get to play a final role in nursing your rescue back to full health, creating an initial bond between you both.