Little update. Before we left for vacation, she wouldn't go backwards at all, on any event. The HC told the other coaches to just back off, let her have some space, and then we left a couple days later. On vacation, gymnastics wasn't really brought up. She did show her great grandpa some gymnastics when he asked, and at 97 he was pretty impressed with press handstands.
The first week back, she got her fly away and started tumbling with someone "standing there". After practice last night, the HC came up and said she did 3 backhand springs on the low beam, and that's all she would let her do. She said DD looked really confused when she told her to stop after 3, but she wanted to end it while she was ahead.
This was our first experience with fear, and CB advice is spot on. We didn't focus on it, her coaches didn't make her feel bad, and she is learning how to work through problems. Gym has always been easy for her, and talking with the Level 9 and 10 parents, this won't be her last fear. The smile on her face when I picked up, and she said "mom watch!" and did a standing BHS was worth it.