Outside of politicis.
I'm a North African Jew who lies in Canada. BY LAW, persons of North African and West Asian descent are to define themselves as 'White' on the American and Canadian census since 1975. You are as White as Arabs, Berbers, Turks, Greeks, Armenians and Persians. If you're Ashkenaz you're of European descent and have been legally 'White' in America since the 1950s.
If you are living in the majority of European countries you would be legally non-White, the same as Roma, Sinti, or Turkish peoples in Europe.
Culturally, if you're just discovering that you might not be White - you're most likely White The anti-Semites who hate White people will consider you White and the anti-Semites who revere Whiteness will regard you as non-White. Given that Yom HaShoah was last Wednesday it shouldn't be THAT much of a surprise.