Your symptoms fit completely with anxiety. Last July I couldn't eat for 3 days after my daughter was seriously injured in an automobile accident. Emotional distress will often cause physical symptoms, and can negatively affect your health.
How to handle emotional distress? I suppose what works for one doesn't necessarily work for another. Various means of occupying yourself may help, such as keeping a journal, taking walks, engaging in a sport, etc. For me, I turned to work and have uncharacteristically become a workaholic the last few months. It doesn't solve the original problem, but it takes one's mind off of it at least enough to get by.
Psychologists talk about processing through. Which means whatever helps you process the situation is what you should do. That could mean talking about it (incessantly), reliving every detail, investigating everything related, etc. I've probably done a little of each of those, and it does help, even if it annoys others or makes them think you've gone off the deep end. But gradually for me at least it helps me to come to terms with the situation.
It's healthy to do all of the above; your brain is screaming in pain and for attention. The worst thing would be to bottle it up, since it will only break out unpredictably and perhaps disastrously later.