Hello!
Do you know why your daughter is terrified of the animals?
What is her fear - fear of being bitten? fear of being jumped on and knocked over?
If you know this answer - you can put her in a "safe" setting - around animals that you know are good with people and SLOWLY let them come to her.
I personally wouldn't let her around PUPPIES - as puppies generally "jump" and you don't want her scared even more. My puppy - 8 months old is a Boxer and it's a Boxer trait to jump - we've been working on him with this - but overall - he's a VERY good boy and does NOT bite/nip at people when playing. he's a talker - oh my - to hear him talk is hilarious!! :)
With cats - maybe you have a friend who has a mellow cat that slowly help her get accustomed to cats...
You can also take her to place like PetSmart and PetCo where they have animals to look at so she can SEE the animals and learn about them.