Just to give you some reassurance and counter what another poster said (about this being inappropriate therapy), I want to let you know that what you're describing actually sounds like a common and very well-researched form of trauma therapy called 'exposure therapy' or 'narrative exposure therapy' .

It is considered an evidenced-based therapy and has been studied extensively with veterans and also those with single incident trauma. Of course, no single trauma treatment is effective for all situations and it may or may not be effective for you personally, but it most certainly can be helpful and healing for many people as they work to process and metabolize traumatic events and experiences.

I would say that it's a good sign that you aren't finding the therapy to be destabilizing or too difficult thus far. It shouldn't be destabilizing. Perhaps you could discuss your concerns about crying with your therapist.