With many destinations and overflight rights shut down to QR, mass cancellations, bookings in freefall out of security and service issues and massive financial losses, it may be a matter of days before QR is dead. The overall diplomatic and security situation in the region may badly hurt the economy of the region including the other airlines of the ME3 and could spill out all over the world.
QR isn't in any danger of shutting down any time soon. Qatar is a very rich country, sharing the world's largest natural gas reserves with Iran, and they have customers all over the world. They can afford to float the airline for years if they want to.
The UAE and Egypt, on the other hand, should be worrying about whether or not Qatar will shut down their supply of gas in retaliation...since they both import significant amounts from Qatar for their power plants.