Yes, yes and yes on going to therapist. I've been on T for almost two years and I'm still pretty androgynous, but body hair (some light, some dark) went everywhere within that time and my voice sounds like any other boy in the middle of puberty. I didn't turn into a yeti or anything but leg hair has always annoyed me and so does most other body hair, but I deal because it's totally worth it to me, but could be a nasty deal breaker for someone else. You could get get body hair, muscles, or voice results that you might hate, and you might not. But the androgyny will go away, so yes, a therapist and you should dig into this and possibly figure something out that you'll be cool with. Like others have and will always tell you, you won't be able to pick out changes from testosterone.
Lots of people stay outside the 'gender binary' and go on T anyway, and lots of guys that fully identify as guys never get on T for all kinds of reasons. Some guys only go on T for a while and then stop. Reasons like not wanting to physically alter their body or face, not wanting all or any of the changes or 'side effects' from T, not caring about physically or socially 'passing' as anything etc. so yeah, T isn't mandatory or even right for everybody. For me and many others yes, but not for everybody. For some people, altering their body would feel wrong. For others, allowing their body to stay and continue to develop without T would feel wrong.