Your sample image goes too deep to solve with the smaller indices that I've built. But it's easy to show the OP's problem with Astrometry.net by using another image.
The attached screenshots show a sample image of mine solved by AstroImageJ/ansvr (top) and a Linux build of Astrometry.net (bottom). The solved .fits files are then displayed in ASTAP.
The second screenshot shows the problem reported by the OP: the Astrometry.net solution flips the image in the x-axis (not a rotation of 180 degrees). This is why alternative plate-solving apps like ASTAP and ASCfit are needed.