At this time it is not possible to remove the “email” field from the invitee questions on your public booking page. This is because, since all meetings booked via Calendly are booked virtually, all invitees must have some form of email address in order to receive a booking confirmation along with event details like location, time and so on.
I hope this information is helpful, even though it’s not exactly what you hoped to hear! Have a great day!