Why are some dog walkers so afraid of horses?

So today I took my companion mare out for a walk in the woods, she is not ridden horse, so I just lead her in hand, and my sister had our companion pony, who was also lead by hand, and these 2 women were coming in our direction, so we took the horses on to the side, and one of them was "should we just walk... show more So today I took my companion mare out for a walk in the woods, she is not ridden horse, so I just lead her in hand, and my sister had our companion pony, who was also lead by hand, and these 2 women were coming in our direction, so we took the horses on to the side, and one of them was "should we just walk past you?" I was like yeah, and as she was walking past she said to my horse "stay" I was like excuse me !? Did she undersimated my strength that I can t handle my horse ? so why are dog walkers so scared of horses ?
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