You'll want to check with Texas gun owners' rights group, the State Rifle Association, or with the Texas State Attorney General's Office for details on that.
I can tell you that Texas is not the only state where it is legal with a permit to carry concealed, but not legal to carry in public visibly armed. Florida, for example, is another state where that holds true. "Printing" -- i.e., the shape of the gun becoming identifiably visible through what should be concealing clothing -- is a shooters' term, not legal terminology.
So, if you are in a jurisdiction where it is not legal to be visibly armed in public and the gun prints, you will have a problem. The archives of Glock Talk are rife with cases where there were "hassles" and "scenes" over a visible firearm in public even in jurisdictions where Open Carry was perfectly legal.
For tips on minimizing printing, take a look at the Gun Digest Book of Concealed Carry at your local gun shop, or Borders or Barnes & Noble.