Jamieson, Fausset and Brown on 1 Corinthians 11:7-9

7-9. Argument, also, from man's more immediate relation to God, and the woman's to man.

he is ... image ... glory of God--being created in God's "image," first and directly: the woman, subsequently, and indirectly, through the mediation of man. Man is the representative of God's "glory" this ideal of man being realized most fully in the Son of man (Psa 8:4, 5; compare 2Co 8:23). Man is declared in Scripture to be both the "image," and in the "likeness," of God (compare Jas 3:9). But "image" alone is applied to the Son of God (Col 1:15; compare He 1:3). "Express image," Greek, "the impress." The Divine Son is not merely "like" God, He is God of God, "being of one substance (essence) with the Father." [Nicene Creed].

woman ... glory of ... man--He does not say, also, "the image of the man." For the sexes differ: moreover, the woman is created in the image of God, as well as the man (Ge 1:26, 27). But as the moon in relation to the sun (Ge 37:9), so woman shines not so much with light direct from God, as with light derived from man, that is, in her order in creation; not that she does not in grace come individually into direct communion with God; but even here much of her knowledge is mediately given her through man, on whom she is naturally dependent.