Sorry:') There was a rodeo and cowboys were trying to get on bucking horses and outride each other for a prize. John Wayne was reminding his lady that that was how he met her and she used to not turn up her nose up at rodeo stuff. I'm not much into westerns but I remembered caz I thought it was a cute scene at the time. I figured the horses were just trained to act that way.
Well old westerns, before the AHA supervised, where VERY hard on horses. Lots had to be destroyed from injury in the old days, it's relatively good for them now.