Even if doctors prescribe it where you live… Around here that still generally means oral estrodiol in low doses (WPATH SoC 8 if you want to know the details) which is known to cause unsatisfactory results due to unstable levels. When doses are increased it affects the liver in potentially negative ways. In also requires usage of an antiandrogen in humans with intact testosterone production, which all have known unpleasant sideeffects… (+ A lot of gatekeeping to even get the prescription in the first place.)
Compare that to doing a single DIY injection a month with no known negative side-effects if administrated carefully (other than feminization, duh) even Less safe than prescribed is a dubious claim, I think.
Since someone else mentioned it in a different context recently: Would DIY be helpful here? Or too risky? Not what you want? You'd need to hide the supplies somewhere out of your parent's reach, but the immediate and long-term benefits of starting early might be worth it.