I just wanted to toss in my bitcoin. To the OP, for your trainer to say puissance=dressage is not correct. However, everyone who has noted that show jumping is dangerous, if not impossible, without dressage, is absolutely correct. Dressage is so much more than prancing around to music. Only freestyles have music, and those are rare, especially at the lower levels. Dressage is the foundation of all riding. For a horse to do anything, from barrel racing to jumping to western pleasure, dressage is the basis. It is both a science and an art that teaches you to ride properly and how to control your horse's body and movements, making it possible for them to collect, lengthen, use their back and hindquarters, bend properly, etc. that is necessary if you want to do anything well. In jumpers, for the couple minutes you spend on course, you only spend a few seconds in the air. How well your jump goes is entirely dependent on you taking the horse to the fence and setting them up for success. If you just sit there and look pretty and hang on over the jump, at the best your horse will get lucky and make it, at worse will start refusing, running out, or crash through the fence. Also, I would recommend you expand your horizons and just go for show jumping in general if jumping is your passion. I have been to a LOT of shows and have never once been to one that offered puissance as a class. It is very uncommon at the lower levels, and to be competitive at the top level where it is seen occasionally, you're going to be riding agains Grand Prix riders, and have to have a horse and the riding skills to clear sometimes 7'. The average Grand Prix course is in the 5' range.