As urgently wanted,the delivery must be finished on next Wednesday.
非要用上“finished order”的话
As urgently wanted/needed,the finished order should be made on Wednesday.
不过这么翻觉得别扭,当个参考吧
The finished order must be delivered on next wednesday, because our client need it urgently.
We have to deliver the finished order next Wednesday since our customer in dire need of goods.
Dueing to urgent need of our client,the order must be finisned next wednesday.
Because of the hurry needs of the consumer,we should finished order in next Wednesday.