Tiger, it is about defining the terms. Check this:
Quoted from: http://www.army.mil/cmh/books/wwii/7-4/7-4_2.HTM
At the same [1942-early 1943] time General Eisenhower retained command of ETOUSA, the headquarters controlling U. S. forces in the United Kingdom. Despite the difficulties of this dual role the arrangement was preserved in order to insure that TORCH might draw at will on American resources in England. When Eisenhower moved to the Mediterranean, he appointed an executive deputy theater commander, Maj. Gen. Russell P. Hartle, to manage theater affairs in the United Kingdom. Hartle served in this capacity from 2 November 1942 to the end of January 1943. Then, according to plan, with TORCH firmly established, AFHQ and ETOUSA were formally split. Early in February Lt. Gen. Frank M. Andrews was named commanding general of ETOUSA. New theater boundaries gave ETOUSA responsibility for operations in the whole of Europe except the Iberian Peninsula, Italy, and the Balkans.
End quote, my emboldment.
So, up to January '43 ETOUSA had taking care ONLY of American forces in the UK. From February '43 (when Gen. Andrews was appointed) ETOUSA was indeed taking care of the Europe.
My quiz was
Which US Army General was first choice to be commander of American forces in Europe?
So, first commander of ETOUSA (in Europe) was Gen. Andrews!!!