Lacking the divine compass, they will stray from the road traced by God for the priestly ministry, and they will become attached to wealth and riches, which they will unduly strive to attain. How the Church will suffer during this dark night! Lacking a prelate and a father to guide them ... many priests will lose their spirit, placing their souls in great danger.” The poor priestly souls that would be left to uphold the Church would suffer greatly.
The above statement is taken from the prophecies Our Lady of Good Success.
This is what happens when we do not have a pope to unite us in the faith and guide us.