Fate Core is one of the more recent incarnations of the basic FUDGE gaming system and while it has my favorite game play elements, its character generation is not exactly my favorite. I'll likely hit the other versions of Fate later. Fate Core is a sort of toolkit system that at its base level is best suited to pulp and adventure storylines where character competence is highlighted. There are a lot of different variations of Fate ranging from very rules light to very complex systems. Even within Fate Core, there are a lot of different variations with their own systems modeled to fit the desired story. There are five basic categories of character elements in Fate Core: Aspects, Skills, Stunts, Stress Tracks, and Refresh.
Edit: Something I forgot to note when I first wrote this and is considered a major part of character creation in Fate Core. You generally create the three "Other Aspects" along with the other players. The process is to have each player describe a short past adventure where the other character "guest-starred" in your backstory and come up with your Aspects based on those events. This creates links between the characters so they can start knowing each other. In this case, the gorgon probably had scenarios involving her archery, knowledge of forestry and survival, and her stealth.
Slippery Target - Provided you are in darkness or shadow, you can use Stealth to defend against ranged attacks from enemies that are at least a zone away.
Uncanny Accuracy - Once per conflict, stack an additional free invoke on an advantage you've created to represent the time you've taken to line up the shot. (Examples: In my Sights or Taking Aim)
Danger Sense - You have an almost preternatural capacity for detecting danger. Your Notice skill works unimpeded by conditions like total concealment, darkness, or other sensory impairments in situations where someone intends to harm you.