You may think it's convenient to leave a halter with an attached lead rope under your horse's bridle as you ride. The lead hangs at the ready - attached to your horse's halter and tied to your saddle's horn - making it easy to tie your horse during breaks.
However, the extra rope and mesh dangling beneath your horse's neck can become tangled as you ride. And any loop or excess rope can easily get caught on small limbs and debris. To be safe, stash the lead rope in your saddlebag.