I don't believe anyone is necessarily above enduring criticism. But I do think it is time to put a well-worn and incorrect Watchtower teaching to rest about the Pope that baker brought up.
Catholics do not teach or believe the pope is infallible. Pope=infallible, that is the Watchtower at its most ignorant, uneducated height.
What the Catholic Church teaches is that when a doctrine of faith is under question and all the research is done for and against an issue, the pope can declare the result in favor of the doctrine never being questionable again.
This means the pope can declare a doctrine once under debate as dogma, namely that the DOCTRINE is infallible. But several things need to be in play for this to happen.
1. The questionable doctrine must be put to the test with not merely clergy but especially the laity being questioned regarding their understanding of the issues involved.
2. The doctrine cannot be newly invented by anyone, including a pope. The question can only involve that which has been (or believed to have been) embraced as doctrine since the beginning of the Church.
3. The pope and/or college of cardinals working in unison with the pope can only declare the doctrine as dogma or infallible in accordance with the evidence presented.
Only twice in 2000 years have popes ever made such formal statements regarding doctrine. Unlike the Governing Body, declaring a doctrine as infallible dogma requires the laity to be involved, and both dogmatic pronouncements sided with the view of the laity over what many scholars believed when they were made.
That is not nothing like the Governing Body and the way it does things and invents unquestionable doctrine in closed sessions.