Fact check: You can carry in a place of worship unless you are informed either orally or via signage described in Texas Penal Code Section 30.06.
As originally written, Texas Penal Code Section 46.035, subsection (b)(6) prohibits carry "on the premises of a church, synagogue, or other established place of religious worship." However, subsection (i) was added later that adds this a defense to prosecution: "Subsections (b)(4), (b)(5), (b)(6), and (c) do not apply if the actor was not given effective notice under Section 30.06."