I would really like to Study Jazz Piano, but...?

You're not a hopeless case. If you work at it, and get the teacher, you will be able to learn. It may take longer than you want it to, and it may be frustrating at times, but you will learn. The teacher will be able to guide you in the right direction, challenging you but not overwhelming you. If the teacher is a jazz pianist, that will help a lot, but even if he or she is only classically trained they will be able to help you with the harmony and understanding the theory. Just don't give up and you'll get it one day.