ALWAYS get back on the horse ALWAYS! As a trainer and a 50+ years of riding, i work daily with people with serious fear issues - most did not get back on the horse when they should have. ALWAYS get back on immediately unless you are leaving in an ambulance! And then, still maybe you should. Once that fear crawls in your brain he is a bastard to remove!
I've been riding, training, breaking horses (western) for 55 years now. But, due to previous injuries (some albeit from horse misadventures)I'm only researching, and consulting; re: Free-roaming horses now. Of course, it stands to reason, if you are severely injured you don't 'immediately' get back on. However, in the western scenario of breaking a horse when we didn't have time to round-pen it for two months, we had to get back on ASAP. This was for two reasons: we probably only had the one horse, or maybe two at the most, at our disposal, to ride. Secondly, if we didn't immediately remount, the horse could develop a bad habit which would take an unacceptable amount of time to correct. And note, I'm not referring to falls, I'm relating to buck-offs. We didn't ride English and fall off on jumps and obstacles; we couldn't afford to do this when wrangling. Fortunately, the western saddle with its pommels, horn and raised back of the seat kept us in better than the 'pancake' saddle, which is what we referred to the English saddle as. Days gone by, I suppose.
"Always get back on the horse!" Sorry; I'm with George Morris on this one. When riders fall off during clinics, he always barks, "If you're not going to the hospital, YOU'RE GETTING BACK ON!" The reality is that, for most amateur riders, most falls are NOT serious, resulting in little more than black and blue spots and corresponding bruises to the ego. Many people find themselves riding BETTER after getting back on after a fall because the worst thing that they feared -- falling off- has just happened; now, they can relax (or get mad at themselves/their horses) and focus on the skill they were learning. If something HURTS or just doesn't feel right as a result of a fall -- that's a different story.
Always get back on your horse after you fall off. I fallen off and gotten bucked off countless times and very rarely have I been too injured to get back on. We need to quit being so safety conscious if you're riding a horse, it's dangerous, comes with the territory.
GET BACK ON YOUR HORSE!! I fell off my horse once and got a concussion, but still got right back on, and went to hospital later. Unless you need to go to the ER right away, get back on your horse!!!!! Falling off goes with the territory, but if you don't get right back on it'll just build up a fear of falling.