Act 20:28 Take heed therefore unto yourselves, and to all the flock, over the which the Holy Ghost hath made you overseers, to feed the church of God, which he hath purchased with his own blood.
And who ordained the overseers??? Was it Peter??? Nope...How about Paul??? Nope...It was the Holy Ghost...
Was 'feed the flock' a special admonition given to only Peter??? Of course not...
And what was the food that was to be fed???
The charge to Peter in the last chapter of John was self-evidently given to St. Peter alone.
References to consecration and ordination are numerous in the epistles and the Acts.
The food was primarily the Eucharist, which, Christ taught, was "food indeed". Nothing prevents us to understand is expansively as the entire teaching of the Church. This is how Peter himself understands it in 2 Peter -- as the deposit of faith he received firsthand.
There is no mutual exclusivity between St. Paul and St. Peter. Whatever St. Paul did, even if arguing with St. Peter, he did because St. Peter and St. James, "the pillars" authorized him.
It is a bit late. If you are not sure of the verses I am referring to, I will give you references tomorrow.
I am kind of weird in that I never rely on anything after the Four Gospels until I really understand what went on while Jesus walked,so to speak. It's probably because I am somewhat disorganized so I am kind of fanatic about viewing things in the "order" of presentation.