People tend to react to this sort of thing very differently, and Kaz's prolonged silence has Rey wondering whether or not she should be excusing herself at this juncture. Even his query doesn't breed much confidence.

"Found the other vessels. Rather, was shown the different bodies, all of them nearly identical to this one." She stops to gesticulate, indicating her current self. Her vessel. "Would be transferred into a different vessel when one died. Have been shot, stabbed, blown up, among other various deaths over the years."

A rather traumatizing experience, one would assume. But Rey has since disconnected herself from that part of her life. It's easier to live with herself that way.