Well, you definitely came to the right place for suggestions!^^ I can honestly say that just from the short time from being a member here, I have felt support that I never felt even from my family, sadly.
Anyway, I think you are on the right track in that you are considering speaking to a professional about this. I think though, that keeping your name confidential from them would be kinda impossible, right? I can't think of any health practitioner who would not ask that you provide whatever name you currently are registered under for identification purposes. So that surely is inevitable. If it helps any, I have come out as trans to most, if not, all of my health providers and they have all been very well-receiving of this. I'm not saying my experiences will be the same as yours or someone else's, cause truth be told...they ain't cause we all different, ya know?
I agree with the replies here that it would be wise to seek out a health professional who does specialize in this area of interest, which in this case would be things like Gender Identity Disorder, Gender Dysphoria, struggling with gender identity, e.t.c. This is very important because there are crooked ass therapists or psychiatrists or whatever that'll use they PHD-ish status to take advantage of naive clients like they've done time and time again to me, and give you the runaround like a big ol' circus! >.<
So take great care when looking for and choosing a gender therapist. This, to me, would be one of the top steps in transitioning. But because everybody's experiences and situations are unique, there is no standard chronology of steps.
Good luck in finding a therapist and coming out! =)
~Nixy~P.S. I have youtube and my social worker to thank, personally, for helping me find my current therapist from this site:
https://www.psychologytoday.com/