I'm going to guess that if the DPS check came back with something that indicated a DUI/DWI in 2010, their assumption is that most of those are class B, and your failure to report a class B on your application would be disqualifying.
I hope it all works out for the best for you.GC §411.172. ELIGIBILITY. (a) A person is eligible for a license to carry a concealed handgun if the person:
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(8) has not, in the five years preceding the date of application, been convicted of a Class A or Class B misdemeanor or equivalent offense or of an offense under Section 42.01, Penal Code, or equivalent offense
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(14) has not made any material misrepresentation, or failed to disclose any material fact, in an application submitted pursuant to Section 411.174.