"Won't give a 6month old baby an appointment"

I phoned my surgery today to make an appointment for my sick baby who may I add is only just 6month old, to be told no appointments are available at all not even an emergency one. I was passed on cavendish courts number in Doncaster who advised me that my baby did need to seek medical attention however not in their care due to infection control!! The operator contacted my GP surgery herself to request an appointment for my daughter and still nothing was done.. I will take this further !!