The ff. are the 7 points (in his own words) that Kevin Giles made for rejecting any appeal to the immanent Trinity as the basis for either complementarianism or egalitarianism:
1.) The idea that the trinity prescribes human relations on earth is a very modern idea without historical precedence.
2.) The idea that the divine life in heaven prescribes human life and relations on earth is implausible. Where, we must ask, does God's perfect threefold relationship in heaven prescribe fallen human relations on earth? Nowhere in Scripture are we told to imitate divine, heavenly relations on earth. There is no biblical warrant for this idea whatsoever. Imitate Jesus? Yes. Imitate God's threefold relations in heaven? No.
3.) Specifically in regard to the man-woman relationship, to argue that the threefold divine relations in heaven prescribe the twofold man-woman relationship on earth, I think, is illogical.
4.) 1 Cor. 11:3 offers no convincing basis for this appeal to the Trinity.
5.) The idea of the Trinity speaks of the Father ruling over the Son is a denial of the full divinity of the Son and the unqualified lordship of Christ.
6.) To argue that the Son's eternal and necessary functional subordination does not imply ontological subordination is unconvincing.
7.) The idea of the Son as eternally subordinated to the Father is rejected by most contemporary Trinitarian scholars.