There are a number of places where Christ is called "God," but in a secondary sense in comparison to the Father, even after his exaltation (cf. Phil 2:9). One such instance would be Heb 1:8-9:
But unto the Son he saith, Thy throne, O God, is forever and ever; a sceptre of righteousness is the sceptre of thy kingdom. Thou hast love righteousness, and hated iniquity, therefore, God, even thy God, hath anointed thee with the oil of gladness, above thy fellows.
This is an important pericope for many reasons—this is one of only a few places in the New Testament where Jesus has the term "God" (Greek: θεος) predicated upon him (others would include John 20:28 and probably, based on grammar, Titus 2:13 and 2 Pet 1:1], and yet, post-ascension, Jesus is differentiated, not simply from the person of the Father (ambiguously tolerated in Trinitarianism), but a differentiation from God (literally, the God [ο θεος]), something not tolerated in Trinitarianism. This can be further seen in the fact that this is a "midrash" of Psa 45:6-7, a royal coronation text for the Davidic King, of whom Jesus is the ultimate fulfilment (cf. 2 Sam 7). Both the Hebrew and the Greek LXX predicates "God" upon the king, and yet, there is a God (in the case of Jesus, God the Father) above him. The LXX reads the same as Hebrews; the Hebrew literally reads "elohim, your elohim" (alt. "God, your God" [ אֱלֹהִ֣ים אֱ֭לֹהֶיךָ (elohim eloheyka)].
That this polysemic nature of the term "God" was understood even in early Christianity can be seen in the following from vol. 2 chapters XLI and XLII of the Recognitions of Clement:
"Listen then," says Peter, "that you may know, first of all, that even if there are many gods, as you say, they are subject to the God of the Jews, to whom no one is equal, than whom no one can be greater; for it is written that the prophet Moses thus spoke to the Jews: 'The Lord your God is the God of gods, and the Lord of lords, the great God.' Thus, although there are many that are called gods, yet He who is the God of the Jews is alone called the God of gods. For not every one that is called God is necessarily God. Indeed, even Moses is called a god to Pharaoh, and it is certain that he was a man; and judges were called gods, and it is evident that they were mortal. The idols also of the Gentiles are called gods, and we all know that they are not; but this has been inflicted as a punishment on the wicked, that because they would not acknowledge the true God, they should regard as God whatever form or image should occur to them. Because they refused to receive the knowledge of the One who, as I said, is God of all, therefore it is permitted to them to have as gods those who can do nothing for the worshippers. For what can either dead images or living creatures confer upon men, since the power of all things is with One?
"Therefore, the name God is applied in three ways: either because he to whom it is given is truly God, or because he is the servant of him who is truly; and for the honour of the sender, that his authority may be full, he that is sent is called by the name of him who sends, as is often done in respect of angels: for when they appear to a man, if he is a wise and intelligent man, he asks the name of him who appears to him, that he may acknowledge at once the honour of the sent, and the authority of the sender. For every nation has an angel, to whom God has committed the government of that nation; and when one of these appears, although he be thought and called God by those over whom he presides, yet, being asked, he does not give such testimony to himself. For the Most High God, who alone holds the power of all things, has divided all the nations of the earth into seventy-two parts, and over these He hath appointed angels as princes. But to the one among the archangels who is greatest, was committed the government of those who, before all others, received the worship and knowledge of the Most High God. But holy men also, as we have said, are made gods to the wicked, as having received the power of life and death over them, as we mentioned above with respect to Moses and the judges. Wherefore it is also written concerning them, ‘Thou shalt not curse the gods, and thou shalt not curse the prince of thy people.’ Thus the princes of the several nations are called gods. But Christ is God of princes, who is Judge of all. Therefore neither angels, nor men, nor any creature, can be truly gods, forasmuch as they are placed under authority, being created and changeable: angels, for they were not, and are; men, for they are mortal; and every creature, for it is capable of dissolution, if only He dissolve it who made it. And therefore He alone is the true God, who not only Himself lives, but also bestows life upon others, which He can also take away when it pleaseth Him.