Thanks for writing your query.
It will be helpful if you mention the age of your daughter.
After reading your post, it seems that your daughter is having some pathology in nose which can be nasal polyp associated with sinus infection
Other cause can be increase in blood pressure.
Your doctor is correct in referring her to an ENT specialist
for clinical examination and to confirm the diagnosis.
You should also have an X-Ray PNS in the meantime.
Nasal packing with a vasoconstrictor should be done under medical supervision to control the nasal bleeding
Also instruct your daughter to avoid fingering her nose as it is a common cause of nasal bleeding.
I hope this is helpful to you.