In such a situation one knows that something is wrong. And then the central bank must intervene? If the operation of monetary policy is no longer certain because of the distrust, if monetary policy is no longer reaching the economy which negatively affects credit, overall demand and ultimately price stability.
Yes, then the central bank must act and work out a strategy for dealing with the disruptions. Of course it depends on the reason for the risk aversion. If it is because of a lack of liquidity, or even just the assumption that the counterparty might be short of funds, then the central bank could help.