Overall, I'm not super impressed with her pedigree. Any names worth mentioning are pretty FAR back in her lineage. (Sonny Dee Bar, Jet Deck, Moon Deck, Poco Bueno)
And I guess it doesn't look like to me that she is "giving" in the first photo. Her nose is stiff and outward. If she was giving, she'd be soft and her nose would be tipped down/in to follow the pressure. Not necessarily a bad thing, as she's only 2 and needs to be taught, but I don't think she's giving.
Depends what you want. If you have high hopes of a 1D barrel horse or rodeo horse, I wouldn't pick her. If you just want something for smaller local events to have fun on, then go for it. Depends what your goals are for her.
∞•*˚ Βгįťţαňγ ˚*•∞
It is not enough to know how to ride; one must know how to fall.