There is no evidence that Peter ever went to Rome, nor that he founded the church there, (it was already well established when Paul wrote his letter to the Romans,about AD 57),either from the bible or from other historical documents. Neither is there evidence nor proof that the leadership of the church here on earth was ever supposed to go through Peter to his “successor”.
Read 1 Timothy and Titus as to the qualifications for an elder or deacon, the only two offices clearly established for the church.
The bible is the results of the Holy Spirit moving on men who were yielded to Him and by the evidence that the gospels and letters were inspired by the Holy Spirit.
So, it is the end of the story, unless you want to dispute with the bible and history, or to stick to your dogma.
The books in the Bible did not fall form the skies. Based on infallible Petrine authority the books in the Bible were assembled by the early Church fathers by the first Synod of Rome around AD 384 and later these texts were again ratified in subsequent Councils of the Church. That infallibility did not suddenly evaporate ELEVEN centuries later with the Reformation that in Hilaire Belloc’s famous phrase “spawned a cluster of heresies” with each Tom, Dick, and Harry and the corner street vendor claiming to crack open the pages of the Bible and tell us “his”/””her’ version of the truth.
All this internet theology is for shallow Bible Christians. This debate was ended some 2000 years ago. It begins and ends with Petrine authority.