now you need to decide whether you want the PC to survive being bitten. depending on your choice the feel will change, and so will the players actions. if they survive the are going to be bolder and to consider the Zombies less of a threat, however if they die they will instead be much more cautious.
both have upsides both have downsides. however I would choose to have them die, after some time, in order to keep the fear level of the zombies high