All 5 of the presets and every single “HornStyle” for the Female Qunari Inquisitor, as shown in the twitch stream here. There are a total of 24 options.
There are four base styles; A short bun style, a mohawk, dreads/cornrow style (let me know if there’s a better wording), and bald. The bun and mohawk have six each, while the dreads have five and bald have seven.
What the qunari lack in hair variation, however, they make up for with many different horn options. But it can be a tough pick if you want a certain horn and a certain style that don’t match up.
Qunari can also have hair ranging from white to blond, to reddish brown to black. Skin ranges from different greys to bronze to very dark grey. There is also no option to have dark sclera (the whites of the eyes) or sharper teeth. Qunari also do not have any options for tattoos because of their special ‘war paint helmets.’