SMTP is a protocol that handles the delivery of emails between servers. It works behind the scenes to move emails from the sender's computer to the recipient's inbox in a store-and-forward manner, passing through multiple servers along the way and briefly storing emails at each step. An SMTP relay service receives emails from a client and queues them for delivery to the final destination, either successfully delivering the email or returning a non-delivery report. It provides reputation-based filtering to help ensure only legitimate emails are delivered.