Reducing the social anxiety will automatically bring down the stutter since its linked. Do you stutter when you are just by yourself? The more comfortable you get with other people, the more comfortable you will get with yourself. As for isolating the stutter as a separate issue itself..........that is something that I struggle with too. I have never been in speech therapy but some techniques like light onsets might work. Light onsets are where you do the opposite of stressing the start of a word. You say it as lightly as possible.