Tex. Code Crim. Proc. art. 29.13
Current with legislation from the 2023 Regular and Special Sessions signed by the Governor as of November 21, 2023.
A continuance or postponement may be granted on the motion of the State or defendant after the trial has begun, when it is made to appear to the satisfaction of the court that by some unexpected occurrence since the trial began, which no reasonable diligence could have anticipated, the applicant is so taken by surprise that a fair trial cannot be had.
Tex. Code Crim. Proc. § 29.13