The Church gave you the Bible. You recognise the Bible as divinely inspired in terms of both content and assembly (I presume - otherwise, why not refer to those Books deemed fallible, and which stand in opposition to those deemed infallible?). Yet, you do not recognise the authority of the Church, which exercised its authority in determining what was worthy of being recognised as Biblical canon. It is nonsensical, and you know it. Sorry to ruin your day. (Not really.)
I am not Catholic, and thus not beholden to the Pope.
I do not recognize the Bible as infallible or inerrant, as it was written by humans, and we make mistakes. Furthermore, only the Autographs (original writings) would have been divinely inspired, but those were destroyed when Nebuchadnezzar II destroyed the temples in Jerusalem way back before Jesus was even born. All we have are copies of copies. We do not have the Autographs to compare to, so no one can say that the Bible is infallible or inerrant. That is only wishful thinking.
The authority of the Church...this the same Church that told the crusaders to go kill Muslims in the Holy Land, for it will absolve you of your sins? The same Church that went on a witch hunt and had thousands of innocent women burned at the stake? The same Church that in a weird twist of fate, brought on the Black Plague? The same Church that had Galileo charged and convicted of heresy, and placed him under house arrest for daring to say the Earth was not the center of creation (only to have Pope John Paul II apologize centuries later because he was right)?
No I do not recognize the authority of ANY Church, regardless of religion.