When creating a Google Account via many of the avenues Google provides for such, you are expected to obtain a new email address. Specifically, a Gmail address. What if you don’t want or have need for a Gmail account?
Use this link to sign up for a new account: https://accounts.google.com/NewAccount
Under the Choose your username field you’ll see a link saying “I prefer to use my current email address”
Select that, and you’re away laughing.