To raise or lower priority of an Amazon shipping rule
Change the priority of a shipping rule by changing its position in your list of shipping rules.
Description
Note The Raise Priority arrow and Lower Priority arrow display if you have two or more rules in addition to the Default (All Inventory) rule.
Under Markets, click the Expand button for the market you want to modify, and then lick the Expand button next to Shipping Rules.
Click the Raise Priorityarrow to move a rule up and the Lower Priorityarrow to move a rule down
Change your rule priority, and then click OK.
Shipping rules apply to your inventory in the same order that they appear in your shipping rule list, from top to bottom. If an item meets the criteria of the top rule, then that shipping rule is applied. If an item doesn't meet the criteria of the top rule, it's compared to the next rule down, and so on.