Sending her lots of fairies. Abby was in that position all last season. She got a medal a few times at meets where they went out in the AA all the way, but she didn't medal on events until her 6th meet. She is not competitive though and only got sad at ones she didn't get an AA medal because she just wanted a medal. She didn't care about placements, etc. Having a competitive kid is harder, but I agree that she seems to have a lot of drive and that will probably help her work really hard to get those higher scores faster.
I noticed when Abby was 6 that when she focused really hard to fix certain things at the next meet, she would forget things she did fine before. Consistency takes awhile. Abby is just starting to be more consistent at meets and she turned 7 in July. She is slowly, but gradually putting all the little things together with the big things.
It is hard, too, because many times these brand new 6 yo L4s are competing against 8 year olds in the same age group or repeat L4s. I feel bad that my DD has experience against these new little ones. She has been in a 6-7 age group the past 2 meets, which is pretty rare, and when she gets in to one with 6-8, her placements will not be as high.
At 6 it really is an accomplishment to just be out there, remembering the whole routine, doing those skills, etc. Sure, there are some amazing 6 year olds who can put it ALL together right off the bat, but most start out lower and get better with each meet. Some are like mine and it takes much longer. LOL.
I don't let Abby try to beat her own scores though, at least not as her primary goal. Meet scoring varies from meet to meet and we saw that many times. Have her make some goals, write them down and try to make those. Something on each event if you can. I always found that was a way to show Abby how she is progressing.

Videotaping if you can, too. Sometimes they just don't realize that they aren't pointing those toes, have bent legs, etc. Mine could always point out things she could improve when she watched herself. Make her pick a "positive" thing she did for any "negative" things she finds.
Did she have fun at her first meet? Hopefully she did and was proud of herself for the things she did do well out there.
I hope all her hard work pays off at her next meet. The competitive ones seem to have the drive to improve much quicker. Mine had me drilling into her that she just needed to do her best and have fun and luckily, she was the type of kid that was content with that. Some aren't and it will be a learning process on how to cope with disappointment and find positives in what they DID do well.
Hugs to you. It is hard to see them sad and disappointed in themselves when they are doing something not many 6 year old can do.