This is not unusual, at least not for me . . . my doctor explained the brain-gut relationship and the impact that anxiety has on it . . . this, in my case, is called irritable bowel syndrome . . . . because of the interconnection between brain and gut, folks with anxiety often have physical manifestations in the intestinal tract (or the stomach) , , , , although I continue to learn about my triggers as a means to manage my anxiety and thereby manage the feelings you describe, it is a process and the first step is to manage the anxiety . . . you ask if it is normal this feeling . . . it is not normal in the sense that you need to live with it because managing anxiety will lessen and even eliminate the reaction but, for folks with anxiety, again, it is definitely not unusual . . .
You probably need to figure out, either by yourself or with a counselor, the triggers for the anxiety, some management strategies (diet, exercise, mindfulness, etc.) and, if necessary, there are meds that you can use to decrease the physical symptoms . . .but for long term managed care, you need to manage the anxiety and to do that the triggers and, yes, by the way, my hands would shake also because of this . . . .let us know how you are doing . . .take care, kc