Thank you for your query and Welcome to HCM forum.
I think you daughter has got Flu which is a Respiratory infection caused by influenza
and nasal problems are the usual symptoms.
Actually we have more blood supply in our hands and foots. This explain why her palm and sole are more hot than other body parts. You should not be worried. It's normal.
And the fever of flu usually persists up to 7-10 days.
Hope, this helps. Wish her a quick recovery.