I don't believe the historical Jesus of Nazareth was “white" as in European, nor do I believe He was "black" as in African American. I do beleive based on what scholars say, the historical Jesus would be a Middle Eastern Jewish man of medium, if not dark, complexion.
I believe Donnie Swaggart is wrong here. Jesus genealogy is very clearly written, with all his patriarchal ancestors,in the Bible. He was obviously neither "white" nor "black" but of Middle Eastern brown.