My parents are more concerned about their money than anything else. My dad said once I got into riding or started at a place I had to stick with it. Plus he paid for my half chaps, boots, helmet and none of that was cheap. By working off my lessons now I've gotten more respect around the house but I cannot tell my parents I want to back out on this instructor. She was fun in the beginning but now it's getting really old and I'm starting to see how much of a danger it is to be there, me being a beginner and inexperienced. If I tell my parents I want to stop working and riding there, I can almost guarantee they will freak out on me and tell everyone their daughter is a chicken and at family meetings they will bring it up and say "Oh yeah well you didn't want to stick with it, how do we know you'll ever stick to anything?" Or when I try to do something else, this will come into play.
That's downright awful your parents won't listen to you even when your safety is at stake. I'm really sorry to hear that. What if you offered to work off lessons at another barn? Even the barn you were at before? Are there more than two near you? I think if you told them it's not working out at the place you're at, but you want to find something else (or already did without telling them) maybe they'll be more willing to listen?
BTW, sorry if my first post came off like I was more worried about the horse's training than your safety... that's not what I meant, I just wanted to point out that too. I just went back and read it and thought yikes :X.
Keep us posted... it's a tricky situation you're in, but honestly staying away from this instructor (as she's clearly not willing to take the time to work with you in the beginning stages of your learning) would be the ultimate best for your health and safety, and future love of horses, even at the derision and scorn of your family. Much better that YOU stay intact mentally and physically and able to pick horses back up later when you have more leeway in how your life goes than get seriously injured or scared so bad you don't want to do it anymore now when you aren't being given a fighting chance.