Usually used collectively with the definite article to mean people who are not Jewish.
The festival attracted both Jewish and non-Jewish.
На фестиваль пришли как евреи, так и неевреи.
неиудейФормально, акцент на религии (иудаизме) Denotes something or someone that is not Jewish.
He grew up in a non-Jewish household.
Он вырос в нееврейской семье.