Was Christ the man created? Is it correct/acceptable in such a tradition to refer to the body of this incarnation as being created?
It's perfectly Orthodox to say that Christ the man is a creature. Because it's referring to one of His two natures, that's what incarnation about. Unless God became man we wouldn't be able to become deified, theosis. We're created, if He is not becoming us there is no Gospel.
For the Son of God became man so that we might become God.
St. Athanasius, On Incarnation, 54:3, PG 25:192B.
This is the Good News that God whose beginning is not contingent voluntarily condescend to become a human being for us and our salvation. On this is rested the foundation of God's covenant that even though He is in the form of Creator He chooses to be found in the lowest form of a creature. This is the love of God manifested.
A new and unheard of Covenant: God Who is and was, is made a creature.
Pope St. Leo the Great, Sermon XII, On Nativity.
If Christ the man is a creature why Nicene council condemned Arius for calling Him the first creation? Because Arius confused the person of the Logos who is a divine person, begotten not made, with the humanity which He assumed for our salvation. It's the later which we refer to as a creature not the former. A divine person is not a creature, but the humanity which He assumed is a part of creation.
Christ who God and man, is called uncreated and created, impassible and passible.
St. John of Damascus, On the Orthodox Faith, 3:4.
God the Word assumed not only a human body but also a human soul with rational mind. He is inside out identical with us in His humanity. He has a fallen flesh with all of its infirmities, a fallen soul with its psychological defect, and more importantly a fallen rational mind damaged by the fall. So that He can healed our fallen humanity and deified it completely. Unless the Logos assumed a fallen humanity tampered with its weakness and mortality from the Theotokos then there is no salvation. This is possible in Catholic and Orthodox Christology because original sin has nothing to do with guilt. Incarnation is the summit of all mysteries.
What has not been assumed has not been healed
St. Gregory of Nazianzus, Epistle 101:32.