The client name should be removed from the new appointment scheduled emails as it's a PHI/HIPAA violation.
I would only include the date, start time, and appointment type.
Additionally, with the language below at the bottom of the email.
About this message
This is a courtesy e-mail to notify you that you have an upcoming scheduled session. Your Raven Health account has been updated for your review. You can view it online by clicking "a link."