Could I get an "intermediate" horse?

[Horses4Devon<3]

Okay so I know this might be hard to answer without seeing me ride, but I really need help. I am 15 years old and have been around horses my whole life. I help my aunt lunge (not ride) her unbroken mustangs so I at least know how to handle um "excitable" horses. I started taking proper riding lessons when I was 14 and took about 4 months break. So I have been riding consistently for about 7-8 months with one to two lessons a week. I can walk trot canter and jump about 2 foot grids. My trainers say I have a nice seat and I find myself to be a pretty calm/"brave" rider. I have been leasing and my parents say we can get a horse! My question is I found a few prospects but they all say either intermediate or intermediate-experienced. Could I consider myself intermediate yet??