Overall, she wouldn't be what I would pick for a barrel horse, but she doesn't look bad, by any means.
She's got a thicker throatlatch and slightly shorter neck, than I would like. She also seems to want to stand over her knees, and does not have as straight of hocks as I like (a little cow-hocked and a little under herself). I'd like her back to be just a tad bit longer (along with her neck to keep the balance). I'd also like to see more rounded hindquarters.
But it looks like she's got a nice quiet eye, and is overall proportional with her body. She's got a nice shoulder too.
"Keeping in mind" she's only had 10 rides really has nothing to do with conformation. Yes, it would affect her muscle tone, but not her original conformation.
∞•*˚ Βгįťţαňγ ˚*•∞
It is not enough to know how to ride; one must know how to fall.