Is there a way to re-orient normals? I need all my normals to be oriented in the same angle, but as you can see from my screenshot, the outer edge are turned one way and the inner edge are 90º offset, so I'm just wondering if there's a way to manually turn them?
By definition the face normals are perpendicular to the face and can't be adjusted to a specific rotation.

To alter the way the hair is emitted, you want to use something other than the normals to determine the initial direction, you can adjust this in the particle settings.

Enable the advanced option which makes the velocity panel available for hair particles. Set the normal value to 0.0 and change the emitter object values to the direction you want the hair to go.