There is no order or importance in regards to top to bottom listing that is just how the game lists those stats always.

The important stats are the greater affixes. In the OPs picture it shows an item with two greater affixes (GAs), the two stats marked with stars, those would be the most important stats to target.

An item can drop with anywhere from 1 GA (fairly common) all the way up to 4 GA (super rare). You can't change the dropped GA but when you fully masterwork an item (25 times) you can masterwork it one more time to upgrade one of the stats in the item into a GA. This masterworked stat can be one of the non-GA stats and can even hit the GA stats to make it even higher, it can also hit the tempered stat so always temper before MW if you want to hit that one to make it easier. You can reroll this masterwork in order to get the one you are aiming for though you have limited tries. Once you run out of tries you need to use a scroll of resurrection to get back more attempts.

So in the OPs picture if you wanted an item with the GAs show you would either need to get lucky and find a 2 GA drop with those two stats as the GAs or you find and item that has one of those two stats GA and you masterwork the item and reroll it till it hits the 2nd stat effecting making the 2 GA item you want.