I think you should continue with the practicum search. However you should change your approach and should have disclosed your stutter in the interview, first thing. Make it known that you're speech impaired. Personally I don't expect people to know exactly know what stuttering is if I just say "I have a stutter", so I use language like "speech disorder" or speech impairment" when describing what's going on with my speech. I tell them something along the lines of: "When this happens, it's because of my speech impairment presenting itself and it's not something I can control, or you may see this happening but what's really going on my speech impairment... And I just wanted to let you know, to clear up any confusion". May sure you don't ramble. Keep things to the point and concise. What this does is it reduces the pressure to be fluent in the interview. I find people are a lot more understanding and it seems easier to talk to them. I also feel more comfortable employing certain speech techniques to help me communicate. For example, often times, I would try spelling the word I'm trying to say if I block on it. This actually often works. I start the phrase or sentence over again, spell the blocked word instead of trying to say it. Usually after I've spell the word out, I'm to say it without blocking. Either way, they know what word I'm trying to say. This is best used when it isn't a long word. At the beginning of the interview you also let them know that's okay to help you finish you words. Up to you.