Go to the hospital and tell the doctor that you are breastfeeding and ask him to prescribe some cold medicine, which can be taken during breastfeeding. What should I do if I catch a cold and infect my child without taking medicine? The child is so small and has poor resistance that he can't take any medicine unless he is breastfeeding, but he should take the medicine prescribed by the doctor and don't eat it indiscriminately. I wish you a speedy recovery.