Bring to your attention addon - Checkout without e-mail
It gives your not authorized customers the possibility to fill or not to fill e-mail field during the order process.
Buy addon or get more information by link
demo is available by link
And how do they get notifications or look up their orders?
It is for customers without e-mails (they do not have e-mail at all)
Good work but email is necessary one while placing orders..... Customers will face many problem if have not mentioned the email ID.
Now demo is available by link