Quendya is the archaic name of the word Quenya which Tolkien said was still used among the Vanyar, therefore they would refer to their language as such. Although it still would encompass the dialects of the Noldor and the Teleri, it is sometimes used by fans particularly for their dialect.
Quenya
vanyarin
proper name. *of the Vanyar; language of the Vanyar
Elements
Word Gloss Vanya “Fair Elves, the Fair” -rin “-ian, racial-adjective, language”
Vanyarin
Vanyarin
An adjective describing the Vanya Elves, as well as a name for their dialect of Quenya (WJ/361; PE18/74), it is a combination of their tribal name with the language/adjective suffix -rin.