She is not "Sayaka of Sado Island"
Her last name is "Sadogashima" which is, yes an island, and yes the island is named "Sado," but her last name is simply "Sadogashima" and it is not "Sado ga Jima"
Just like Nekoyama is not named "Cat Mountain," even though there is a Cat Mountain, and that place is called "Neko Yama."
If her name was "Sayaka no Sadogashima," then... yeah; but it isn't.
Also, "Dispel Menace," but that was mentioned.