Take rest days if you want to, but they're not mandatory for successful training or injury prevention. That said, you shouldn't continue to push your body day after day. When your running back-to-back, you need to be smart about it by adjusting your intensity. If you are training more than 3 days per week, some days should be easy, sometimes you should go slowly.
As an advocate and educator, I am frequently asked about the best ways to support survivors of trauma immediately after an incident, and long term. One of the best starting points in becoming part of a strong support system, is understanding how thoroughly experiencing a traumatic event can impact someone's life. Potentially every aspect of wellness may be impacted by the traumatic experience. Those who has been traumatized are frequently shaken to the core.