From my perspective as a C&MA Protestant Evangelical, there is no question that Jesus deferred to His Father on many occasions. Doing the Father's will and accomplishing the task Jesus came to accomplish was uppermost in His mind.
"I do always those things which please the Father."
"My food is to do the will of Him who sent me and to accomplish His work."
"'I have an immersion [baptism] to undergo -- how pressured I feel till it's over!' (Luke 12:50 CJB).
"Father, let this cup pass from me; nevertheless, not my will but yours be done."
I could multiply instances of Jesus' deference to the Father's will and word.
In Jesus' model prayer for His disciples, He taught us to begin prayer with these words:
"Our Father who art in heaven, hallowed be Thy name; Thy kingdom come, Thy will be done on earth as it is in heaven" (my emphasis).
Clearly, there is within the Godhead a transcendent and mysterious bond which is centered around relationship. The Triune God is not three Gods, but one ("Hear, O Israel, the LORD our God, the LORD is one"), and yet there seems to me to be distinctive roles within the Godhead. These roles reflect a kind of synergism in which the differences in roles in no way diminish the deity of Father, Son, or Holy Spirit.
The Father loves the Son and has committed all things to Him
The Son loves the Father, and in deference and obedience to His will the Son came to earth to fulfill the Father's purpose
The Spirit delights in revealing Jesus to seeking and sincere souls, and in bringing Christ's words to hearts and minds
"Sacrifice and offering thou didst not desire; mine ears hast thou opened: burnt offering and sin offering hast thou not required . Then said I, Lo, I come: in the volume of the book it is written of me, I delight to do thy will, O my God: yea, thy law is within my heart" (Psalm 40:6-8 KJV).
"Therefore, when He came into the world, He said: 'Sacrifice and offering You did not desire, But a body You have prepared for Me. 6 In burnt offerings and sacrifices for sin You had no pleasure.' Then I said, 'Behold, I have come-- In the volume of the book it is written of Me-- To do Your will, O God.' " 8 Previously saying, 'Sacrifice and offering, burnt offerings, and offerings for sin You did not desire, nor had pleasure in them' (which are offered according to the law), 9 then He said, 'Behold, I have come to do Your will, O God.' He takes away the first that He may establish the second. By that will we have been sanctified through the offering of the body of Jesus Christ once for all" (Hebrews 10:5-10 NKJV).
"'But the Comforter, which is the Holy Ghost, whom the Father will send in my name, he shall teach you all things, and bring all things to your remembrance , whatsoever I have said unto you'" (John 14:26 KJV).
"'But when the Comforter is come , whom I will send unto you from the Father, even the Spirit of truth, which proceedeth from the Father, he shall testify of me'" (John 15:26 KJV).
ALL THIS TO SAY: When we pray to God we are praying to all three: Father, Son, and Holy Spirit. To insist that we address only the Father to the exclusion of the Son and Spirit borders on legalism. I cannot count how many times in my own prayer life when I've said to God,
Oh, Lord Jesus, thank you for dying for me. Thank you for taking my place in death at Calvary. Thank you, Jesus, for saving my soul.
On rarer occasions I will also address the Holy Spirit, who is after all the Spirit of Jesus, asking,
"Spirit of God, descend upon my heart,
Wean it from earth, through all its pulses move.
Stoop to my weakness, mighty as thou art,
And make me love thee as I ought to love."
Almost invariably, however, I begin my prayers with
"Father . . .."
"Heavenly Father . . .."
There are no hard and fast rules in the Bible as to whom we should address in prayer. True, the "Lord's Prayer" teaches us to address God as Father, but Jesus, in teaching His disciples that model prayer, was not giving them a template; rather, He was giving them a paradigm for prayer. Part and parcel with that rich paradigm is the notion that God is "Our Father" and not some far-off and distant God who is impressed by our multiplicity of words and empty phrases. Matthew 6:7 KJV tells us,
"'But when ye pray , use not vain repetitions , as the heathen do: for they think that they shall be heard for their much speaking.'"
As believers in Christ we have the privilege of entering God's presence, through Christ, to
"draw near with confidence to the throne of grace, so that we may receive mercy and find grace to help in time of need" (Hebrews 4:16 NAS).
God expects us, I believe, to avail ourselves of His ever listening hear. There is a multiplicity of ways to address our great God, and if before Him our hearts are right, God can "translate" our prayers just fine.
Do we need to end every prayer with "In Jesus' name"? Need I answer that question? Selah.