The odds of a gatherable dropping its rare resources are pretty low! Additionally, when you just start gathering as a new character, it’s not even possible for those to drop.
As you level the relevant gathering skill, you’ll cross particular thresholds that first enable and then begin to increase the likelihood of finding those rare resources.
To boost your chances further, you can craft armor with gathering-specific perks on it and eat food that enhances your gathering luck for a particular skill.
Soon, I’ll be taking a look at the drop rates for these lower-tier rare resources (e.g. Fae Iron, Petrified Wood), and if I see an irregularity that could be causing them to be more rare than we expect them to be, rest assured I’ll get a fix in that will make its way to you in a future release.
Thanks for playing New World with us! See you in Aeternum!