What does auloedus mean in Latin?

auloedus, a noun, means “a singer accompanied by a flute”.

What is the genitive of auloedus?

The genitive singular is auloedī. auloedus is masculine, second declension.

auloedus, i, m., = αὐλὡδός,

I. one who sings to the flute, Cic. Mur. 13 fin. (quoted by Quint. 8, 3, 79); so Jul. Val. Rer. Gest. Alex. M. 1, 66.

From Ancient Greek αὐλῳδός (aulōidós), from αὐλός (aulós, “pipe, flute”) + ἀοιδός (aoidós, “singer”). The construction is parallel to citharoedus.