The question of the Lord’s triple inquiry of Peter: “Do you love me more…?”
The three challenges to Peter after the resurrection regarding his love for Jesus and command to shepherd in John chapter 21, follow and correspond to the three denials of Peter in chapter 18.
In Luke 22:31-34: “Simon, Simon, Satan has asked to sift you as wheat. But I have prayed for you, Simon, that your faith may not fail. And when you have turned back, strengthen your brothers.”
But he replied, “Lord, I am ready to go with you to prison and to death.”
Jesus answered, “I tell you, Peter, before the rooster crows today, you will deny three times that you know me.”
The term strengthen means to reassure the other apostles that the one who confessed that “Jesus is the Christ, Son of God” does indeed still believe what he confessed. It would be devastating for them to know of Peter’s denials, so Jesus wants him to strengthen their faith, to reassure them of the strength of his faith.
Only Peter denied Christ, so only Peter required this challenge, and there is no implication of his being appointed to be head of the church on earth. All of the apostles were shepherds.
I imagine you are responding to my posts but your interpretations are twisted or far stretched at best.
Historical accepted interpretation of the verses you referred to:
[15-23] This section constitutes Peter’s rehabilitation and emphasizes his role in the church.
9 [15-17] In these three verses there is a remarkable variety of synonyms: two different Greek verbs for love (see the note on John 15:13); two verbs for feed/tend; two nouns for sheep; two verbs for know. But apparently there is no difference of meaning. The threefold confession of Peter is meant to counteract his earlier threefold denial - John 18:17, 25, 27). These verses define that Jesus after his resurrection gave Peter the jurisdiction of supreme shepherd and ruler over the whole flock.
As an example, this is the translation from the Latin Vulgate;
Luke CH22 31 And the Lord said: Simon, Simon, behold Satan hath desired to have you, that he may sift you as wheat:
32 But I have prayed for thee, that thy faith fail not: and thou, being once converted, confirm thy brethren. 33 Who said to him: Lord, I am ready to go with thee, both into prison, and to death.
34 And he said: I say to thee, Peter, the cock shall not crow this day, till thou thrice deniest that thou knowest me. And he said to them:
35 When I sent you without purse, and scrip, and shoes, did you want anything?
Now as far as the denial goes,
All of the apostles denied Jesus through their abandonment but Peter was the only one who went to see what was happening and placed himself in the position to even be asked.
no disrespect intended, but as far as “…there is no implication of his being appointed to be head of the church on earth.”, I have already posted numerous Scripture texts and quotes from the Early Church Fathers proving the recognized authority of Peter by Jesus and by those who succeeded in the positions of the apostles.