Thanks for your query
Your child is asthmatic and problem she had in her nose is because of allergic rhinitis
which is present along with asthma in 60-70% cases. For allergic rhinitis initially for 1 month or so your child needs to have a nasal spray
consisting of fluticasone
followed by fluticasone spray for atleast 3 months.
You should consult a pulmonologist
and assess your child for asthma control and if control is not acheived yet then some add on therapies may be added to achieve the control for asthma.
I think my advice will be of help to you.