Go and speak with your doctor or asthma nurse. Asthma should be well controlled and there are other treatments which can be used alongside steroid treatments. You don't say if your daughter is on inhaled or oral steroids, inhaled steroids are fairly vital in the treatment of asthma, maybe your daughter could try something like singulair granule or another add on treatment. It is really important that you go back to the person who looks after your daughters asthma care though, both you and your doctor should agree on a treatment which keeps your daughters asthma stable and has the fewest side effects. Unfortunately, short courses of oral steroids can sometimes be unavoidable and although the side effects are nasty, they are a life saver!
Heres hoping your little girl improves soon.