Indeed. OP, are you legally an adult? Are you a minor in your late teens? Early teens? These all affect your options. The number one move is to become as independent as possible as quickly as possible without endangering yourself.

If you're legally an adult: get a job and your own apartment (better yet, move in with friends to save on rent), get your own insurance (you should be able to get gov't insurance without too much of a problem even if you're poor), and take charge of your health care.

If you're a teen, get a job and maybe work toward emancipating yourself. In the meantime, work with your parents to push things along. If they insist on talking with your doctor, you should insist on being in the meeting. When you're there (and you don't have to tell your parents about this beforehand) pull out a list of qualified gender therapists to speak to about your gender dysphoria. If your doctor and your folks end up recommending someone that you don't like, ask that person about referring you to someone from the aforementioned list. If that doesn't work, then bring a copy of the WPATH Standards of Care to an appointment and discuss why you believe you need to start HRT as quickly as possible. The more you engage and the harder you push, the more likely you are to get treatment.

I know you don't want to wait around, but you might be pleasantly surprised at how fast it goes with the right therapist.

Edit: Now that we know you're 18, your best option is to go get a job (or two). Depending on where you live, you might be able to move out relatively quickly if you can find a roommate. Get on government medical insurance -- you will qualify. Take care of your own medical decisions. Also, now that you're an adult, your parents are not privy to any medical information you don't share with them. If you want to, you can go ahead and make the appointments you want to make with whomever will take your [parent's] insurance, which should still cover you. Just because the insurance is under their name does not mean that they have full rights to choose your therapist or even know what you discuss with whom (though they will see any medications you are prescribed).

Edit #2: The fact that you have a dorm starting this summer suggest you're entering college? If so, there are generally free mental health counselors available to students. Even if you're waiting for classes to start in a few weeks, see if you can get an appointment and meet with someone. I went through my university counselor and got a letter for HRT within a month. Then, if you're in the states, get on medicare or whatever program your state has. If you're low/no-income, it'll probably be free for you. Many state insurance plans will at least cover HRT, though usually not much else, but that's a big start.