Now to me when Buffy says she knows where the Master is, she's not saying she's making a deductive guess, she's saying she knows. You obviously saw the scene differently. I disagree with your conclusion, but it's only based on the subjective. There is no actual proof.
Prescience, that is what you have labled it, you are making an assumption based on a woman determined to 'beat the bad guy' and two words...'I Know'.
Deductive reasoning(i wouldn't say guess) is far more believable because we are shown time and again that Buffy has a rather acute take on deductive reasoning and believes in that 100%, yet having some mysterious link, some message sent from on high there is nothing. IF it was something like that, i'm sure that over 6 more years, this infact would be explored, heck even in the 6 minutes after the event, she could say something witty about something telling her, but no, all we have is the determination and 'I Know'.
When you start talking about adrenaline, I think, "perhaps", but fight or flight is an instantaneous and temporary response, it doesn't really explain Buffy walking around Sunnydale on a adrenaline high, and if there's ever been a case of someone coming back from a near death experience smarter and stronger, because they're high on andrelaline, I'd really like to see that one. If you choose to interpret it that way though, I don't know, maybe you could re-interpret the scientific fact, and say it works differently on Slayers, or something. Either way it's subjective. Debating the subjective is a waste of energy, I find, so all I can do is disagree.
It actually does explain Buffy running around Sunnydale. Adrenaline(as is nonadrenaline) is constantly produced in the body, in small doses, but in times of high stress or anxiety, the levels soar.
When the two[adrenaline and non adrenaline] combine, these hormones work to try to prepare the body to make it more alert and ready for when extra energy and exertion is needed.
Now, when Buffy is awoken from her supposed death(she didn't actually die), she isnt immediately super strong, it takes a few minutes, indicating its not some new special force immediately imbuing her with the power of the gods(or whatever) but infact a natural chamical reaction within the body.
Also the body will continue to create the adrenaline/nonadrenaline mix until Buffy has lost this anxiety, stress, determination and/or anger.
Another clue to this being an adrenaline rush is something that Buffy says after the fight is over.
One of the other functions of Adrenaline is the collapsing of glycogen to glucose. The glucose is then used up at a faster rate by the blood pumping through the body expending more heat energy through the skeletal muscles that have been altered by the production of....you guessed it...the adrenaline.
This would make anyone who has just had a powerful and prolonged burst of adrenaline very hungry.....which brings me to
Willow: (to Angel) You can come with us, Angel.
Buffy: I'm hungry.
Xander: So what's the story with the car?
Cordelia: Oh, that was me, saving the day!
Willow: (to Angel) Get something to drink.
Buffy: Is anybody else hungry?
Willow: (to Angel) Well, no, don't do that. Just hang.
Buffy: I'm really, really hungry.
Sometimes its nice to look for the 'mystical' connection but sometimes the answer leaves the extraordinary and comes right back to good old fashioned ordinary...which in the mixed up world of heroes and demons is often a nice release
🙂