The "fight or flight" response is instinctive not intuitive in my opinion. Instinct is not the same thing as intuition.
According to the Merriam-Webster Dictionary at
www.merriam-webster.comINSTINCT is:
1: a natural or inherent aptitude, impulse, or capacity <had an instinct for the right word>
2 a: a largely inheritable and unalterable tendency of an organism to make a complex and specific response to environmental stimuli without involving reason b: behavior that is mediated by reactions
below the conscious levelINTUITION is:
1: quick and ready insight
2 a: immediate apprehension or
cognition b: knowledge or conviction gained by intuition c: the power or faculty of attaining to direct knowledge or cognition without evident rational thought and inference
Instinct is a unconscious activity
Intuition is a cognitive activity, therefore is also a conscious activity as opposed to an unconscious one like instinct.