This is hardly a matter that can or should be submitted to any “board” for a vote. Would Commissioner Paredes’ board take under consideration the question of whether or not to leave cookies and milk for Santa Claus?
If it was submitted correctly, with signatures of X number of citizens and so on, then yes. That's the difference between living in a free country and not living in one. In a free country, government officials cannot high-handedly dismiss the preferences of the citizenry, no matter how stupid.
In return, the citizenry presume that officials appointed by their democratically-elected representatives are honest, fair, and wise - at least, hopefully a little wiser than the average idiot. After all, if their representatives put idiots in charge of things, they'd be picking different representatives, wouldn't they?
The primary goal in reviewing the application is to consider whether the program will contribute to helping high-school students be successful in rigorous college science courses. In evaluating it, we will make certain Texas remains hospitable to high-quality science education and scientific research.
Presuming that this is reasonably honest, what's not to like? The creationists will get their day in court (or before the board), which everyone is entitled to. The alternative, ultimately, is "They came for the creationists, and I said nothing, because I am not a creationist."