Wells Fargo has engaged in some truely shady and illegal business practices and it is highly unlikely that they will recover from this. Their customers are going to other banks and the exodus is surely going to have some immidate and long term consequences for Wells Fargo. It would take a lot of changes to avoid this.
Wells Fargo's loss of their BBB accreditation is just another nail in the coffin for the beleaguered company. Over the past few years, the company have lost a considerable amount of consumer trust and lost customers as a result. Given the latest news, it is unlikely that they will be able to recruit new ones without a dramatic change of course. Therefore it is likely that the company will close imminently.
Yes, the company is in danger of going bankrupt because they will not get any new customers to open accounts. They have lost the trust of everyone and have proven they only care about their own money. This will be the end of banks like Wells Fargo, and they will soon be bankrupt.
Wells Fargo isn't going anywhere. They paid their fine and fired the people responsible for the problems. Wells Fargo will be even more careful about avoiding impropriety. They will be working hard to earn back people's trust. If anything, people might be more inclined to bank with Wells Fargo because there is now more scrutiny on the bank.