Ah. You're right. Well spotted. It does look like it's pointing in the wrong direction, and should indeed be deflected towards the reader rather than in the plane of the picture.I am assuming since the earth is near galactic plane (as illustrated) at the time of summer solstice, then the axial tilt of the earth would be in the direction of the sun and not to the galactic north.
Maybe @fizixfan will stop by and take a shot at correcting it. Although I imagine it might be difficult to render it clearly in two dimensions.