I think this is a bit disingenuous.
“Non-contagious” is just an extra descriptor for the pneumonia, which is classified further as bacterial (as opposed to viral, or fungal, or other incidental types).
I think this is just the doctor describing it herself in English, not intending official medical categorization.
As for the “non-contagious” in itself, I don’t know that any bacterial thing is “non-contagious”, strictly speaking. I do believe it is not “highly” contagious, which is maybe what she really meant. Not likely to spread. (Many diseases are seen this way - highly or not very contagious.)
He went on to say
If people would just quit sticking pins in voodoo dolls that look like Hilary she would be fine.