I haven't shouted, but I have been angry, sure. It is human to feel anger.

I sense you feel like this is 'too much' anger, and that telling him face to face means something different than emailing him. So this is new, being able to and wanting to tell him face to face. That's brave to do. It will be helpful to him to hear what you have to say, what you are feeling. And you're giving him the opportunity to reply in person. And you're giving you the opportunity to hear his response in his voice.

I have been angry with my therapist, but I usually can't access that anger in the moment. When I was angry with her for talking too much, I suffered between sessions, then went in and talked about it. Her memory of it was very different from mine (because I was suffering from anger in silence and she was attempting to salvage the session with talking) but we explored it and learned from it. At one point, when talking about how hard it is to do this in the moment, she said matter of factly, "Yeah, it would be hard to tell your therapist so shut up." Ha! I loved that she said that, as if to say that she can handle anything I might toss her way.

So you are brave and courageous in my eyes. It is hard to do this. Sometimes it is easier to just let it sit and not address it, to avoid it completely. But you are not doing that.
You are standing up for your feelings by taking your anger to therapy
Good luck and if you wish to share, let us know how it goes!