It's worth remembering that while you have Olaf bonding to you at the moment, being so new to your home, there can be a level of passiveness in this early stage- put simply, Olaf might be stepping up and eating from your hand because he is frightened.
Until Olaf has bonded with you properly, after a longer amount of time, I wouldn't try and push him onto your daughter.
She will adjust better if she is able to take things at her own pace.
My niece is also frightened of birds after a pigeon got into her school classroom.
Whenever she visits we go and see the birds. She was frightened by them being in their cages at first but with time and letting her go at her own pace, she would happily sit in the room, with the budgies being out and flying around.
It really comes down to common sense.
Being exposed to Olaf daily, not interacting, just being near him, and seeing you interact will calm her fears.
You should only try and get her to interact with Olaf if she wants too. Don't try and force it.
it's also worth explaining to her just how small and vulnerable budgies are and how very big she is to them and that the biting response was because they were frightened by her, not because they want to hurt her or are 'mean'.