I feel like most of my stuttering is due to anxiety and increased muscle tone

I feel like most of my stuttering is due to anxiety and increased muscle tone So the words that I have trouble saying is "resident" and "medicine". I am in medical school and when someone asks me what I want to do, I would like to respond "internal medicine". While I can get through the "internal" just fine, I always speech block on "medicine". However, just a few moments later, while I am by myself, I can say it out loud without any trouble. Also, it seems like the increased anxiety causes tensing of muscles which leads to a block. Fighting through the increased muscle tone is what causes my speech block. Sometimes, if I make a movement, the word becomes easier to say. For example, if I know I'm going to block on a word, then I can raise my foot and drop it on the ground. As I drop my foot, for some reason, I can get the word out, which beforehand I could not have. It's so weird. Is the fear that I am going to stutter creating my stutter and speech blocks? Am I stuck in a cruel catch-22 situation? I fear that I cannot be who I want to be due to my speech blocks. It is extremely distressing. I am considering trying out SSRI's for anxiety to see if this will help. Anyone else experiencing something similar?