Many people say that the Church is in 'crisis,' especially in the Americas; 'crisis' really implies that the system is in immediate danger, because there's some larger underlying problem. I think anyone would be hard-pressed to say that's the state of the Church right now. The simple fact of the process of papal election, and the subsequent celebration by the Church AROUND THE WORLD is evidence enough that the Church can calmly and joyously pass on its authority without issue.
A 'growing chasm' doesn't so much mean that the Church has problems of doctrine, as it does getting people to properly understand that doctrine. Often, in the Church's past, individuals' persistence in misunderstanding a teaching has led to their separating themselves from the Church because they think they know better than all the theologians and Church officials who came before them. If Catholics believe that something is the truth given by God, should they change it just because a small number of people don't understand?
Also, the implication that a native-born European pope is somehow disconnected from the world of today, because he is stuck in the Middle Ages, is also without foundation. Just look at the writings of the last two popes on various current and perennial issues, their encouragements in faith to people of every kind, and the extensive effort they've made to visit Catholics on every continent, and it's plain to see that they were the heads of a unified, global church that speaks with one voice of belief in many and beautiful ways. This voice speaks firmly and confidently, because even though it has faltered in the past (due to human nature), it believes wholeheartedly that the real Head of the Church is Christ, who can never be overcome.