The hand licked by the cat accidentally touched the bleeding wound. Do you use rabies vaccine
This situation will not be infected with rabies. It is recommended to develop good living habits and try not to contact small animals at ordinary times. You can use soapy water to clean iodophor and alcohol for disinfection. Don't worry too much. There is little chance of infection with the virus. Generally, it is easy to cause rabies virus infection after being bitten by dogs and cats.
According to your description, the cat licked the hand and touched the wound. If the wound licked by the cat loses its activity for more than 10 minutes, touching the wound again will not be infected with rabies virus. First, wash the local wound thoroughly with soapy water and disinfect with Iodophor. If it is determined that the dog's saliva has contaminated the wound, you should go to the CDC for rabies vaccine as soon as possible.
Don't worry too much about the situation described by you. Generally, after being licked and swabbed by a cat, the possibility of rabies virus carried in animal saliva is unlikely. In addition, rabies virus will quickly inactivate in a short time after it is separated from the animal body, so it generally won't cause rabies virus infection. However, it's not recommended that you have such behavior. Apply iodophor solution or medical alcohol to disinfect local wounds.