The first time my cat received both of these shots during the same vet visit, she definitely was impacted by them. For the rest of the day and up until about noon of the next day, she was very lethargic. She just slept, didn't bother to eat, and was totally inactive. This year she will be in need of both shots again (the distemper shot is given every three years and her rabies shot is annual). I know cats can have some side effects after receiving vaccinations, just like people, but is this a serious reaction or normal? If the reaction can cause more serious problems, I can have them given at different times. She has never had any reaction when just receiving the rabies shot.