Deferred adjudications are considered convictions for the purpose of CHL eligibility.
Contact the court that handled the case, and ask for the disposition of the case. Ask for a statement that no records exist if they can't find any records.
It will not affect your ability to get a CHL. You would need two Class B (or greater) Misdemeanors offenses in the last 10 years involving alcohol or a controlled substance to be refused a CHL for DWI.
Good Luck!
