Academically dismissed from grad school but want to reapply
For the poster, I recommend you take this very carefully, and perhaps read it a few times. I hate telling people that their dream may not be achievable, because I was in those shoes at one point, too. However, I can't advocate blindly trudging forward and not giving up because that wastes both your money and your time if you don't objectively evaluate whether or not your goal is still achievable.

A while ago, I was in a Master's Program in Biological Sciences, with the ultimate goal of eventually going to medical school. I struggled as much as I could, but in the end, failed to meet academic standards and was told that I was no longer in the program. BAM! Just like that, my dream of going to medical school was over. What seemed achievable, in a year, became a flight of fancy, and a disappointment that I took deeply for a while.

Needless to say, when you fail out of one program, the chances of you continuing in the same field drop dramatically, even if you can explain it as a medical issue, because the onus of proof points to the fact that you were unable to complete your original program.

I gave up my dream of applying to medical school and started working on a Master's in Computer Science. I had some experience, and I knew I could do it. It wasn't brain surgery, but it was something I was good at. I've been done with the Master's for a few years, and have been VERY happy with what I am currently doing. If you had told me right after I failed my first Master's that I would find something better to enjoy doing, I would probably have just flopped over like a fish and not cared.

I now call this event my "early-life crisis." A lot earlier than the mid-life crises that people feel regarding their work, because we reach the point where our dream not being attainable actually becomes a plausible or even likely scenario.

I hate to say it, some of us aren't really prepared or capable of achieving our "dream" jobs. I say "dream" because dreams can change, and they certainly should, given how your life plays out. Lots of people want to become the next Lebron James, but very few can. You can take 24/7 basketball courses and weight training, but sometimes, we just don't have the traits we need to reach that level. We make do, and we should course-correct if we know that making do is not sufficient for us.

You state that you were uncomfortable participating in group discussions regarding the subject of your Master's, mental health counseling. I'm somewhat familiar with this by prior trade, but communication is a big part of that field, and unless you get around the issues preventing you from participating, the same failure is likely to happen. Given what you've said, I would like to put to question whether or not you feel that you are a good fit for the program you're enrolled in. 

Instead of jumping immediately in and trying again, you definitely evaluate your short-term and long-term career goals with your therapist. You should seriously consider additional programs and subject fields as well.