So glad you thought about what was pointed out carefully and took the first step up the ladder in changing coaches.
Since you do not have to worry about moving a horse, it will be easier to take lessons from at least two trainers and spend some time observing their teaching and barn management. Take the time to go spectate at a show but spend your time watching the warm up rings and seeing which trainers suit your needs and which you feel you just aren’t going to click with, With the added stress of preparing to jump in a class at a show, you can really see which trainers are cool, calm and supportive. Which ones can channel the riders nerves and get them focused and has them on a suitable horse. You will also see some who yell, bully and send riders into the ring on under prepared and/unsuitabe horses and a few that couldn’t care less.
Ask questions but just staying quiet, watching and listening to those around you will be the best education. When you visit a possible barn, ask where they are showing and go watch. Picked my last two trainers by watching them warm up riders at shows. Wasted years in bad programs before I figured that out. I learned I did better for trainers who were direct and honest about my skill and my horses. Not so good for those who thought I needed my hand held, didn’t need to hear the truth or blew sunshine up my rear.
Pick one that suits you and who you feel gives you what you need to motivate yourself. Really like sit down meetings to set goals every year. No brainer in the business world, not so much in even show barns where it would keep everybody on the same page and goal oriented. Trainer that matches your short term and mire distant goals can work with you and put you on the proper horse for where you are and move you further along.
Your previous trainer just wasn’t on the same page as you and could do nothing to move you along. Just not a good fit, might have been initially but not now. Frankly, there’s no need to set getting bucked as a goal or step on the ladder towards your goal. Bound to happen at some point but wouldn’t go looking for it.
One word here…never burn a bridge with any horse professional. You never know who you might be doing a buying or selling deal with years from or need to move your horse to in an emergency ( brush fire or mudslide for example). The horse world is small and we have looooong memories. Stay professional in the demeanor department. You’ll see plenty who stray far from that, even Pros…