It will take 10 working days once it has been shipped on 16th June.
Yes apart from the word shippened, there is no such word, I assume it was just a typing error.
It will take 10 ten working days, working days once it has been shipped on 16th June.
Try to always write numbers on any legal or business correspondence, this is good standard practice, one day you will make a typing error and cause problems. If it is in written form then it will be obvious.
And if you receive a correspondence where it is written $100.00 Ten dollars, you can query which is it, it is less likely there will be a mistake on the written Ten dollars than the $100.00.
And if you make the mistake of typing $100.00 for a price that should be $10.00 you will lose a customer. It might be a good customer or a potential future good customer. Some people query many do not they go elsewhere and you are confused why they didn't pay only $10.00 ten dollars.