Is there a difference between "Hemeatology" and "Hematology" as physician medical specialties? Or are these spelling variants, like "Haematology" vs "Hematology"?
It's just a misspelling of haematology, which is the British spelling of hematology. Hematology and haematology are synonyms, and there is no such word hemeatology.
From the Merriam-Webster Medical Dictionary (emphasis mine):
Medical Definition of hematology
: a medical science that deals with the blood and blood-forming organs
hematologist or chiefly British haematologist -jəst\
Variants of hematology
or chiefly British haematology \ˌhē-mə-ˈtäl-ə-jē\