In my opinion
First is grip. If it doesn't feel right, nothing else matters.
Next is how it feels when I draw. Again, if it doesn't feel right, put it down.
Next is how it shoots, meaning, does it jar me to pain or is it a nice smooth shot.
How fast it goes, how straight it shoots and noise are all down there on the list. (How straight it shoots is a function of the shooter and the arrows, not the bow. Noise can usually be tweaked out). All the above are prefaced with a bow in good shape overall.
ChuckC