Can't say about Texas, but here in Iowa, if it happens on private property, it's outside police jurisdiction, unless the store or property manager gives law enforcement permission to cite someone.
That being said, LEO response indicates that both parties agreed to insurance info exchange and let it go at that. Foolish move on the guy's part. I view it as destruction of private property or possibly criminal mischief. Had the store manager authorized LEO to do anything, it could have been leaving the scene, and she would have been 100% at fault.
Me, I'd have been VERY tempted to put about 3 rounds into her car engine.
Just my opine.....Roger