Air guns that reach at least 600 feet per second are legal for squirrel hunting. Other than that, you can hunt non game non protected species with them. The issue in Texas is, there are very few public hunting areas where you can even possess an air rifle legally. On private land/leases, no problems.
Good common sense is not synonymous with proper grammar and spelling. If these are your main points of contention, you don't have a leg to stand on.