The term non-Human referred to species that were not Human, but not necessarily non-humanoid (including those who both did and did not resemble Humans biologically and visually).
John Frederick Paxton divided sentient species into two groups: Human and non-Human. (ENT: "Demons", "Terra Prime")
In 2267, while arguing the Vians' right to live in service to Vaal, if they so chose, Spock criticized Leonard McCoy for "insist[ing] on applying Human standards to non-Human cultures." (TOS: "The Apple")