I had livestock on my place for years and it never seemed to bother the deer. At one point I hunted on a lease where there were sheep, they were a pain in the butt, but it didn't keep the deer off the property. As for shooting around livestock, unless you are shooting at them, or otherwise doing something to excite them, then it should make little difference.
I have had the pleasure of dealing with tresspassers on several occasions. I was not worried that they shoot around my cattle (unless they were shooting at them) my concern was, "What the hell is he doing on my property with out permission?" I even had one guy shoot at ME when I found him in a deer blind one morning. I rolled out of my truck with the SKS in my hand, laid the sights between his shoulder blades, then had a change of heart. I had noticed a strange pick-up across the fence on my friend property when I drove in, I put two and two togeather and went back to the truck and waited with gun in hand. I had hid my truck in a raven behind some ceder bushes. Wen he came towards his truck I had the drop on him, I disarmed him, took his drivers license, and walked away. I knew he wasn't going far because I had let the air out of all four tires. I then drove down to a country store and called the game warden. He wasn't able to come, but sent a deputy sheriff who arrested the guy. He was charged with tresspassing with the intent of poaching, criminal negligency (for shooting at me), and hunting without a hunting license. He got 6 months in jail, suspended, and a $4000. fine. The funny thing about this, if the guy had come to me and asked for permission to hunt, I may have granted approval.
I live near a military base, one of my negibors caught a young captain hunting on his land several years ago. He asked him "who are you and what are you doing on my property?" The captain told him it was none of his business, and that he could hunt anyplace he wanted to. My friend pulled his pistol, took the captain's gun, then chained him to a tree, went home and called the base commander and told him where the captain was located and that he would have to send someone out to get him. The base commander called the sheriff who sent a deputy. They arrested my friend for kidnapping. My friend filed charges against the captain, who stood to loose his commission and be kicked out of service if convicted, both finally agreed to drop charges.
The point is, most Texas land owners do not take lightly to people tresspassing on their porperty.