FuelMor sends emails to customers for invoices and statements if customer email address is added in Billing Methods.
FuelMor does not use your email address or your email server to send emails.
Emailing reply is managed in FuelMor Settings, Emailing.

The Display Name is the name the email recipient will see on the email sent from FuelMor.
The Reply to is the email address you would like to receive emails from customers that reply to a sent email from FuelMor.