'There is absolutely NOTHING that EVER needs to be done in a hurry in an aircraft.'
‘Hurry’ is tied to ‘rush’ which is defined as to move or act swiftly. However, if the word was ‘expeditiously’ – acting or doing with speed and efficiency, then the required action might be clearer. However, both definitions require moderating by 'accuracy' - thoroughness.
These aspects depend on the context of the situation, the required action, and time available; aspects of awareness and knowledge. In my book, expeditious actions (thinking and acting) are required for an RTO, and warnings from EGPWS/TAWS, Windshear, ACAS, etc.
Not all red warnings require such action, often the difference between these is the ability to undo the action, i.e. an engine shutdown and fire drill may be more difficult to undo that an EGPWS pull up, conversely failing to pull may have no undo capability.
Thus ‘know before you go’ (SOPs) comes to mind to aid the decision to trade one aspect for another, (ETTO) as in #5 & #8.