Q: When a place or stranger like a Pool of Life or Witch appears on a player's space, can that player access it right if it is their turn away or must they leave the space first and then move back to it?

Right away.

1 hour ago, Bludgeon said:

Right away.

How do you know? You do understand you're literally just some random guy with some random opinion that may or may not be completely wrong unless you can cite something right?

You know despite this being the internet, you could be less rude, right?

From the FAQ:

"Fountain of Wisdom"

Q: Can a character encounter the Fountain of Wisdom the
same turn that he draws it from the Adventure deck?

A: Yes. This also applies to the Magic Stream, Pool of Life, and
other similar encounters.

39 minutes ago, Lorinor said:

You know despite this be  ing the internet, you could be less rude, right?  

And you know someone could have the courtesy to cite a source to verify their answer since I'm not the only one who has this question, right? I already tried reading through the rules and asked people, the least someone could do is provide evidence for their answer. If the FAQ is official, why does this section of the site even exist? Why don't they just integrate this site with the FAQ so the writers can answer everything?