It seems that the vaccine for feline distemper is part of a combination vaccine nowadays which is delivered as per the illustration above. People ask what the feline distemper vaccine is called. It is called FVRCP. Various manufacturers make it and you can read more about this if you click on the link above the image above.
The important point is that if a cat is at risk of a vaccine reaction then a combination vaccine should be split up into individual vaccines including the vaccine for feline distemper which is one of the core vaccines.