Provided are a computer program product, system, and method for managing I/O requests to a storage array of storage devices in a machine having a processor node and device adaptor. In response to initiating a rebuild of data in the storage array, the device adaptor determines whether a remaining fault tolerance at the storage array comprises a non-zero fault tolerance that permits at least one further storage device to fail and still allow recovery of data stored in the storage array. In response to determining that the remaining fault tolerance is a zero fault tolerance that does not permit at least one storage device to fail and allow recovery of data, the device adaptor sends a message to the processor node to cause the processor node to initiate an emergency protocol to terminate a mission critical operation when the processor node is performing the mission critical operation.