6-month residency is not required. You can get a CHL as a non-resident or as a resident before you've hit 6 months.
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RoyGBiv wrote:GC §411.173. NONRESIDENT LICENSE. (a) The department by rule shall establish a procedure for a person who meets the eligibility requirements of this subchapter other than the residency requirement established by Section 411.172(a)(1) to obtain a license under this subchapter if the person is a legal resident of another state or if the person relocates to this state with the intent to establish residency in this state.
Keep calm and carry.
Licensing (n.) - When government takes away your right to do something and sells it back to you.