Texas didn't admit that they denied her because of her race at all.
Texas used a variety of tools that ended up denying her. One small portion of that is race.
She didn't make it because her SAT scores were mediocre; her GPA was good (not great); and of the people with equal qualifications behind her that were denied included many other white folk. It also included many minorities. And of the people that got in ahead of her with lower scores - 75% of them were white.
A Colorblind Constitution: What Abigail Fisher’s Affirmative Action Case Is Really About - ProPublica
The facts... they say something different.