
Pounce |

According to this FAQ, Unsworn Shamans do have the hex class feature - which means that they qualify for taking the Extra Hex feat.
However, the Extra Hex (ACG) feat states that
You gain one additional hex. You must meet the prerequisites for this hex. If you are a shaman, it must be a hex granted by your spirit rather than one from a wandering spirit.
Problem being, the Unsworn Shaman removes the Spirit class feature.
So, how does this work?
#1: Unsworn Shamans can take Extra Hex, but it doesn't do anything for them. (This seems to be what it reads like to me, RAW)
#2: Unsworn Shamans can take Extra Hex, effectively getting to choose a hex from the current spirit the Shaman had as they got a level, and retaining it regardless of what spirit the Shaman chooses to have at a different day.
#3: Unsworn Shamans can take Extra Hex, but only gain the benefit of it when they bond with the same spirit they had when they took the feat.
Additionally - based off a certain old post by Sean K. Reynolds about new releases of options with identical names doesn't necessarily mean that an already existing option is being replaced. I've seen a post made by the PDT stating that it's mainly options from player companions and other related products that tend to be assimilated and refined into newer core-line books, stating that "The fully refined version will be Paizo's default version for adventures, NPC compilations, and the like moving forward, since it benefited from two development cycles and is available on the PRD" but how does this apply to already existing feats? Because as far as I can tell, there are two versions of Extra Hex on the PRD, the ACG and the APG version - and there doesn't seem to be anything saying that a Shaman / Unsworn Shaman can't select that feat as normal.
So, does this mean that:
#4: Unsworn Shamans (and other Shamans, for that matter) can take Extra Hex (APG) - selecting a non-spirit hex?

VarisianViscount |
The consensus, as far as I'm aware, is that shamans draw on two seperate lists of hexes: generic hexes (those listed under the shaman description, like Healing or Evil Eye) and spirit hexes (those unique to each spirit).
As for feats/items/etc. with different descriptions/effects from different books, only the newer version of it would apply (unless the developers state otherwise for a specific feat/item/etc.), so the Extra Hex feat from the ACG, which limits shaman hex selection to spirit hexes only, is the one to go with.
Since the unsworn shaman only has access to generic hexes and witch hexes, it would be #1. However, unsworn shamans can switch around and get more than one witch hex per day, which is something even a shaman with the Ritual Hex feat/Beseech the Patron occult ritual can't do.