Does CLient can receive app. email confirmation when pending appointment

When client booked appointment online and did not prepay. the appointment is pending.
Client complains to not receive a email confirmation.
Is it possible to receive an email telling me that a client has been booked online and not pay, and wait to receive confirmation from me?
Thank you
So far, I had to unselected PayPal payment to avoid this, but I would like to keep Paypal payment.