Thank you for your enquiry. Emergency documents are generally for those who have had their passports lost or stolen. As this will be your child's first passport, it may not be issued. You will need to apply for a passport for your child. Best to contact British embassy in Pakistan for further information.
Contact the British embassy and ask them. The information you have been given is that you need to apply for a British passport for your daughter. Certificate of entitlement as an application can take as long.
Please rate thank you.