I've got 2 daughters, both probably older than u. Here's MY list for u Pink.
1. Find out what u want to do with your life when u grow up. Everyone your age has issues with something and/or someone. Which mostly have nothing to do with gender.
2. It's your dad's house. As long as u live there, it's his rules.
3. Stop trying to impress him with your need to express yourself. If u want do that now, start by trying to impress a professional. Someone who can understand and help u.
4. If u really want to do whatever u like u need a plan. That will impress your dad and give u something to work toward. And, when u succeed in accomplishing it, u will suddenly find u have become confident! And, u will also have found maturity. Something like: Graduate high school. Attend such and such college. Get a job in some field to pay your way thru. Graduate and get your own apt. in some up coming year. Etc, etc. It's your life. It should be your plan!
5. Your dad sounds very much on your side. Tell him how much u appreciate his open minded attitude. Ask how he would proceed in your shoes? Then, tell him your #4 above.