Do I need an injection if my skin is bitten by a puppy?

No. Rabies is not transmitted through the mother's body. Cats and dogs, like humans, are not born with the virus. They can only be infected by rabies if bitten by an infected animal. Puppies are usually not weaned and have not been outside, so they generally will not be infected with rabies. Infected with rabies. Only the bite wound needs to be disinfected.
First rinse the wound with soapy water for more than 20 minutes, squeeze out some blood around the bleeding wound, and then repeatedly apply iodine and medicinal alcohol to disinfect the wound 2-3 times until the bleeding stops naturally. Do not bandage the wound and leave it fully exposed.

Official refutation of rumors about rabies by CCTV