Hello Georgia. I am sorry to hear you are homeless and have lost the support of your family. As far as the subject of transitioning is concerned I recommend you get yourself in a stable situation first , whatever that happens to be. There are various free transition services such as gender therapy and medical services in some locations, but it still requires some income to transition well.
Mostly though transitioning is not an easy process and can be hard emotionally and you need some local trans friends for a support structure. If a therapist does indeed verify that you have gender dysphoria then you can make plans for transitioning. I would then be the first person to suggest every trans person needs to transition to their real self. It is very hard to transition while you are just trying to find a way to survive.