Kittens should not be bathed immediately after vaccination. This is because a kitten's immune system is weakened after a vaccination, and there are injection marks. Bathing them right after vaccination can lead to illness or skin infections. Therefore, kittens should not be bathed after vaccination to prevent them from getting chilled, frightened, or developing infected wounds. 
What precautions should be taken when vaccinating a cat:
1. Before a cat is vaccinated, it is necessary to check its health in advance. The injection can only be carried out if there are no symptoms such as respiratory problems or diarrhea.
2. After the cat has been vaccinated, it should stay at the hospital for observation for 30 minutes. It can leave after there are no problems.
3. Do not bathe your cat within seven days after it has been vaccinated, reduce walks, and do not feed it random things.