The Catholic Church is not a cult of personality tied to the man who serves as Christ's representative on earth. Go back through history and see how many times the Catholic Church was truly in distress: times when popes were imprisoned, when two or three different men claimed to be the "real" pope, etc.
On top of all that, keep in mind that this is the first time in the history of the human race when people routinely live to the age of 90 or 100 years old. If Pope Benedict XVI was well aware that he had a medical condition that presented a serious threat to his ability to serve (think of dementia or Alzheimer's Disease, for example), would you really want him to continue serving just so that you wouldn't look upon him as a "quitter?"
I think it's time for you to grow up and take a good, hard look at yourself.
While it's true that Pope have resigned in the past, and there's no question whether it's possible for a Pope to step down (probably at least 5 or 6 have done) -- there is NO record of ANY Pope -- in the 2000 year history of the church, stepping down because of advanced age or fatigue. It's simply NOT done. (For similar reasons, the Queen of England, who is older than Benedict XVI, will never "retire" and will remain in office until she dies)
The last Pope to resign did so 600 years ago, and that was because there was a major crisis in the church and he needed to do so in order to end a schism and have a new Pope elected that all the warring factions would accept.
The Papacy is considered a lifetime job for the obvious reason that it would create a serious problem in the church if the "former" Pope and the "current" Pope were alive simultaneously and made conflicting statements about a current issue. I believe that's partially the reason the last Pope who stepped down because a voluntary prisoner of the Vatican and never made public appearances after stepping down. The Pope physically deteriorating or becoming very old and slow to respond has never been grounds for a Pope to "leave office". John Paul II suffered from advanced stages of Parkinson's and was in much worse physical shape than Benedict XVI towards the end of his reign, and never "retired" despite repeated calls from the secular media to do so. One pope in the 1700s continued to reign even though he was physically bedridden and blind for the last 10 years of his papacy.
If the Pope had suffered an extreme medical condition that left him completed unable to function (say a major stroke), THAT might be grounds to break with tradition and have him resign because the office would be defacto vacant as long as he remained alive, but that hasn't happened in this case. Benedict XVI's mind is fully functional, he is not an invalid, and has not been diagnosed with dementia, Alzheimer's Disease, etc., and there is claim from the Vatican or speculation that he's "dying" (and if he was "dying", he wouldn't resign but would rather inform the Cardinals of the situations so they could stand by to arrange a conclave once he did pass away). The only statement from the Vatican is he feels too old and fatigued to carry on.
I think this sets a very bad precedent for future Popes, if they can just "retire" because they're past 65 and feel tired, future Popes could treat the "job" the same they would a secular institution.