This is the cutest hat hook in the world!

Need support:
cat_hat_hook (repaired).stl - Original
cat_hat_hook (repaired-support).stl - With meshmixer support

As a hat hook I used for PLA: .2 layer height, 15% rectlinear infill, 2 perimeters, 3 solid infil (top and bottom), .3 for initial layer. I normally print with 55º C for the bed temperature, and for better adhesion I use hair spray (extra dry) on the glass.
To fix it on the wall a little piece of double sided tape should be enough.