According to the United States government definition of white, He is white: “descended from the original populations of Europe, North Africa, and the Middle East.” I hope that settles it.
Of course, you never know. My work puts me in contact with a lot of Middle Easterners. Some have olive or darker complexions, and others are as light as I am, and I am of 100% northwestern European descent. Take away the traditional Muslim attire, and they are indistinguishable from Europeans. I have noticed the same variety among Jews.
Jesus is as likely to be white as He is to be darker, going by what we know about the complexions of Middle Easterners today.
Does it really make any difference? “The Word became flesh and dwelt among us.” That’s all I need to know.
Until dad visited his unknown relatives in northern Norway. Laplanders! Still raising and herding reindeer.