Mistaken Email Address Or First Stage of Identity Theft?

Yesterday, somebody using my first name and last name, and an email address extremely similar to one of my personal email addresses, registered onto a web based food delivery service. Whoever it was then proceeded to order two dishes from a Thai restaurant.

I know all this because for some reason, I received the email confirmations for the delivery service registration and the Thai food order (which I presume was delivered to and paid for by the original registrant).  Strangely, while the email address registered was not exactly my email address, I have since learned and repeatedly confirmed that my email provider resolves that particular address to mine.  All this was apparently possible because the delivery service registration process does not include an email address confirmation step.