First off your original post reads "how not to handle fear issues" and is a great tutorial for future parents (I am not blaming you as your reaction is perfectly normal, but still horribly wrong). people are giving you the best advice and sadly you think by getting involved you are somehow supporting her. WRONG, Keep reading,
1. Back off, stop talking to her about it and leave her alone.
2. No privates
3. Read number one again and number six.
4. Talk privately with her coaches and ask them to back off and let her brain catch up.
5. Again, DONT TALK TO HER ABOUT ANYTHING and if she comes to you and tells you something your response must be, "oh it's okay honey don't worry about it, give it time". Thats it, every single time she tells you something, you say the same thing with total compete matter of fact and non caring attitude. And (this is important) when she tells you that she did something today, (mommy I did my back flip) DO NOT GET EXCITED, again "oh thats nice just keep working baby" in a total complete matter of fact and non caring attitude.
6. Do not watch workouts.
It's important to know that balking issues come from a variety of things but the lingering effects are based on how the situation is handled at inception and after. I describe these issues to my parents as being an injury instead of an issue (brain injury). As with any injury you need to rest it, then after a few weeks start a slow rehab with zero stress to the area injured (in this case it's the mind). This has nothing to do with skills and at this point everything to do with the mind.
I usually write, "hope this helps" at the end, but in this case this will help if you (parent) can do it.