New Defender's Study Bible Notes
45:7 God, thy God. Psalm 45:6-7 is quoted in Hebrews 1:8-9, thus confirming that the psalm is Messianic and that the Father is here addressing His eternal Son, who is now both God and man—the God/man. A similar conversation between these two persons of the Godhead appears in Psalm 2:7-8, and also in Psalm 110:1-2.
45:7 oil of gladness. This same phrase is rendered “oil of joy” in another Messianic passage, Isaiah 61:3. It probably refers to the holy anointing oil (Exodus 30:22-25) ordained by God for the anointing of His priests.