Save your money! She needs to learn the love the sport all on her own. If she feels she is being forced, she will just fight back or worst learn to hate the sport. Let her learn at her own pace and have fun. If it clicks and she becomes a gymnast great, if not, no big deal! She will find her passion. It took my older DD 9 years to find hers and it wasn't gymnastics after spending 8 years doing it. I can tell you she is a much more happy child now, then she was before.
The best advice I ever got from a parent with older kids was "you child needs to do a sport/activity for themselves, not for you" Sometimes transitioning from making them go, to letting them decide to go on their own is really tough.