You can reschedule a booked 1:1 or Booking Page event from the link in the confirmation email you received after booking the event.
1) Click on the hyper link "here" from the booking confirmation email
2) Select a new time from the 1:1 or Booking Page and confirm your choice
A booked 1:1 or Booking Page event cannot be cancelled through Doodle.
Both organizer and participant can delete or cancel the event from their connected calendars.