Welcome to HCM
Your child is presenting with signs of infection most probably of viral origin. Rubbing eyes means they are probably itchy and might an indication of irritation of the eyes with possible generalized viremia
(systemic viral infection). Normally since the main suspected pathogenic agent is a virus, your child's illness should just be managed symptomatically until the infection subsides on its own. Treatment depends on the severity of the symptoms and probably reason why your doctor chose not to treat. If within a couple of days, she is not getting any better, I suggest you go back and see your doctor so he can reevaluate and probably run some lab tests.
Just exercise some patience.
Wish your daughter gets well soon