This stuff takes time baby girl, even for legal adults.
I suggest you do everything you can to be ready for a prescription the day you turn 18.
I know children can legally be put on puberty blockers but I don't know if they are effective once puberty begins. At your age, perhaps you can go on Spiro, to find similar results. Not sure about the legality though so you may have to wait till 18.
Still, it is best to use this time to get your ducks in a row so you can start as soon as legally possible.
Your therapist is the key to your prescription. You may want to look for a new one. But any therapist worth their salt will be looking for signs of maturity from you. You are a child in the eyes of the law, and suggesting self-medication to any therapist, especially at your age, will set of all kinds of alarms.
Patience is required for every person who transitions. It takes time to get hormones. It takes more time for the hormones to balance out and do their thing. If you are not patient at the start of the process, the process itself will teach you to learn to be patient.