The term “god-forsaken” is most often used figuratively to describe places where one might not wish to be, or situations that are best avoided. “My car broke down in that god-forsaken wilderness between Pennsylvania and California.” “Why do the Phillies stick with that god-forsaken line-up?” We recognize, of course, that none of these things are truly forsaken by God. He is intimately concerned with some of the most seemingly innocuous circumstances (2 Kings 6:5-6).
If you were to do a search of the words “God/LORD” and “forsaken” in Scripture you would get several dozen hits. However, outside of this quotation of Psalm 22 and the suffering of Christ, it is not “God-forsaken,” but rather “God, forsaken, i.e., God who is the forsaken one.
It is Christ alone who can ask “My God, my God, why has though forsaken me?” The answer to His question is that God has forsaken His Son, because we have forsaken our God.