Protozoa as of 2017 is how Microbiologists define one of the six categories of microorganisms. Microbiologists classify microorganisms into: Bacteria, archaea, fungi, PROTOZOA, algae, and small muticellular animals
Then you have how Biologists categorize things, and they classify not into 6 groups but into three groups --> Bacteria, Archaea, and Eukaryote
Then you have the further refining that Biologists use which is Kingdom- which is Bacteria, Archaea, Fungi, Protista (old name for this kindom USED TO BE protozoa), Plantae and Animalia
SO in 2017 , if someone says protozoa, they are no longer talking a kingdom they are talking about a microbiological category for a microbe. If they do say protista, this is the correct kingdom terminology for the protists... which make up the category !
Reference
Bauman, Microbiology with Diseases by Taxonomy, 4th ed. (2014)