Muzzle, that's not true.
Wild Birds: All wild birds that migrate through or are indigenous to Texas, along with their plumage or other parts, eggs, nests and young are protected from harming, killing and/or possession by state and federal law except that European starlings, English sparrows, and feral pigeons may be killed at any time and their nests and eggs may be destroyed. A permit is not required to control grackles; cowbirds; yellow-headed, red-winged, rusty or Brewer's blackbirds; crows or magpies when these birds are considered a nuisance or causing a public health hazard. No birds may be controlled by any means considered illegal by local city or county ordinance.
All other birds are protected by the MBTA, you cab obtain legal permits to kill almost every bird though.