I also struggle with anxiety at work. A lot of my ANTs are telling me that I'm not good enough,, that I don't deserve to have this job, that my colleagues don't like me, that I have bad social skills, etc.
Based on the handouts, some of the techniques I use during these situations are the following:
-Many other people can't do this job as well as I can. In fact, maybe I am doing a good job, but I just can't tell because there are negative thoughts that are clouding my mind.
-I can't know for sure what others think about me, but I can do my best to communicate with my boss and coworkers and do my work to the best of my ability. Who knows, maybe others are impressed by what I'm doing.
-Still, I don't need to worry about what others think. I don't have time. I can only focus on what I can get done.
-Use the look around technique. Is anyone really paying attention to me? No. They are not sitting around thinking negative about me. They are busy getting their own work done.
As far as saying the wrong thing or insulting someone, that's just another ANT. I think I need more information to specifically provide advice for this, but you have the freedom to say what's on your mind just like everyone else.
For those of us with SA, we hesitate all the time because we want to say the perfect thing. Guess what? There's. No. Such. Thing. Focus instead on getting your thoughts out there. You'll be fine. The fact that you are worried about offending someone shows that you are a kind person. Again, you deserve to say what's on your mind. Don't hesitate. Just relax and say it.
Kids have to learn social cues as they are growing up. Maybe for some of us we're lacking in this area. It's ok. With practice and by being kind to yourself, you'll get there and you'll start to feel more confident and get better at understanding social cues.