The goverment bonds market will a face a sell-off only if there`s higher inflation,that will make holding govenment bonds unprofitable.Sooner or later,this will happen,but I think it will be after a few years.
The central banks still have some instruments to use in their arsenal,in order to lower the inflation.
The central bank is of course an urgent solution for them to use. The weakness of the stock market when bonds are sold off. This will lead to many unforeseen consequences. And the solutions need to be optimized so they do not happen too fast. It really needs to stop this flow if not economically hard to recover, including banks.