Why I missed my 1st T appointment

So, on July 26 I was supposed to go for my first appointment on the road to start T.  However, I ended up missing that appointment for two reasons.  My first reason was I had entered myself at the hospital, and they transferred me to a Psychiatric hospital.  I was there for two weeks, including the date of my appointment.  Now to my second reason.  My second reason was why I admitted to myself in the first place.  See, I was depressed more then usual, and a lot of bull s**t was happening in my family.  But what really threw me off, was my father threatening to throw me out if "I ever come looking home like a boy again!"  A couple of months ago I told my parents that I was a FtM transsexual and I was also Bicurious.  My mom supports me a bit (although doesn't want me to start T and still calls me by my birth name), my sister is completely against it and threatens to take my nephews away from me if I do transition, and my father didn't react to it until that day.   So, I basically have no support at my house.  So, after all this happened, I admitted myself into the hospital for depression and suicidal thoughts.  After I got out, my parents treated me like nothing had happened.  I want to bring up the subject again, but not sure how to do it.  I'm thinking that until I move out on my own, I basically can't do nothing to move forward in my transition process.  The thing is, I am very depended on my family, so it's going to be really hard living on my own.  But if I want to truly become who I want to be, I have to do what I have to do.  Besides I'm going to be 20 soon, and my sister moved out at 18, so I guess I should go too.  I'm also thinking about moving in with my best friend too, since she needs to get out of her house as well, and she is capable of working, unlike me.  Hopefully, everything will work out for everyone, especially me...