Now is the time for the former.
Humans would do well to learn from "lesser" animals how best to deal with illness.
Such creatures, when stricken, do not seek to do all that they might, but rather to do as little as is necessary. They go to ground, take to their beds, and wait.
Our ancestors knew the wisdom of such quite well. We today, on the other hand, have forgotten such, and demand that our bodies give all that they can, regardless of their health, with the results that, not only do we prolong our periods of illness, but frequently predispose ourselves to being prone to more frequent and more severe future illnesses.
In dealing with my recent bout with pneumonia, I did as other animals do. I ate when my body told me to; when it did not do so, I refrained from eating. When it told me to sleep, I slept, up to 12-14 hours at a time.
I healed rather quickly, without benefit or need of any medication other than a common analgesic, naproxen sodium. (In hindsight, I am reminded that I have not required any prescription medication since 1973.)
So, listen to your body, and be its very best friend. Training can wait.