When a client books a meeting with you, there are 3 emails that go out of the door:
A meeting confirmation email sent to the client (sent by email@example.com in your name)
A meeting confirmation email sent to the host (sent by firstname.lastname@example.org)
A calendar invite sent to the client. This email is sent by your calendar, using the email address connected to your calendar. This email address can be different from the email address where you created your account with.
This is an example of a confirmation mail that your client could receive:
Vectera is looking forward to your feedback so we can offer you the best scheduling and customer meeting experience. Set up your next customer meeting right away by logging into your account or sign-up for a free, fully-featured trial of Vectera!