I see the face of my Savior.
There are only three possible choices for race. Jew is not one of them.
While Jesus was indeed a Jew, that is not a race, but an ethnicity.
The shroud itself is far from authoritative. If it was fabricated -- or even embellished or interpreted -- solely by Europeans, there's an innate bias there. That said, that portrait looks as much Arab as European to me.
Jesus was a Jew... not African, nor Anglo, but, Jewish.
There's a lot of variation there. There are, in fact, African Jews, Anglo Jews and all manner of others.
Ethiopia had one of the oldest documented Jewish communities on Earth; most of them emigrated to Israel a few years back. Just in the last week or two, a colony of Jews in India was allowed to emigrate to Israel. They, also, have a long and documented history. The "lost tribes" aren't a new idea, and who are we to say where they'd turn up?