In a previous life pre-dc I worked as an audiology technician and those scores tell you how much louder your dd needs a sound to be for her to hear it in the same way as someone with perfect hearing. Normal hearing is anything between 0-20.
With your dd's results the specialists will try and find a cause, whether it is a conductive loss or a sensori neural one. Along with the headphone test, she may well have some other tests such as a tympanogram, and bone conduction and possibly a check for auditory reflexes.
Was your daughter on antibiotics when she was first born? Sometimes gentimicin can affect hearing but drs know of the link and are very careful about dosages
Please try not to worry - what happens next depends entirely on the cause of the hearing loss.
I wear a hearing aid in my left ear - my audiogram that side is
250hz 40
500hz 30
1Khz 30
2Khz 20
4Khz10
8Khz 10
I have a hearing aid simply because I miss the start of some words and think someone is saying something else
This might help you work out what sounds your dd hears without any difficulty and which cause her most problems. When talking to her, choosing words with the sounds she hears more easily will make life much easier at least until she has some more investigations