It should be noted that in personality they are quite different. Wonder Woman is a warrior. Deanna Troi is notably the least military major officer in the show. She wears a different and more feminine uniform than the other female officers.
Wonder Woman is a princess of the Amazon race or tribe of female warriors in Greek mythology. There are many Greek elements in Star Trek's Deanna Troi. This is a little odd as she is half alien. First, her last name is Troi, which is pronounced the same as Troy. The Amazons fought on the side of Troy in the Trojan War.
Her first name is Deanna, which is pronounced the same as the Roman goddess Dianna. The Romans eventually decided that Dianna was the same as the Greek goddess Artemis. Wonder Woman goes by the name Dianna Prince in the human world. So both characters effectively share the same first name.
Deanna Troi is half Betazoid. Beta is the second letter in the Greek alphabet.
The actress who played Deanna Troi, Marina Sirtis, is Greek. She shares the long black hair of Wonder Woman.
On the other hand as mentioned above Deanna Troi has a radically different personality, a lover not a fighter and very feminine.
Of course Star Trek used names from Greek and Romans for other races, the Vulcans and the Romulans.
The TV show Wonder Woman was on the air for three years, ending 1979, Star Trek, The Next Generation began eight years later.
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