What does it mean when the CHL eligibility page says I “must not be ‘finally determined to be delinquent’ in any payments to the state of Texas, including child support and property taxes”?

They’re not talking about missing one or two payments. They’re talking about being so far behind that the state agency issued a decision that specifically says you were “finally determined to be delinquent.” If such a determination has been made in your case, you may take the class but your application to the state for a CHL will be rejected until the payments are caught up and the determination cleared.