For the record (just to clarify the overall context), the traditional conception of God, in the Catholic view, is not anthropomorphic. From metaphysical analysis, God is the Ipsum Esse Subsistens, the Subsistent Act of Existing Itself[0]. You see this declared in the Torah in Exodus 3:14[0]. Faith only enters into the picture with the identification of the God of Scripture with the God of philosophy, but it is not much of a leap given the agreement between the two.
That God is personal does not imply anthropomorphism. That the Logos became incarnate does not imply anthropomorphism.
Also, w.r.t. "God without denying His transcendence", the traditional Christian view of God is one who is both transcendent and immanent.
[0] https://www.newadvent.org/summa/1003.htm#article4
[1] https://www.biblegateway.com/passage/?search=Exodus+3:14&ver...