What's the cost / damage ratio between the two choices?
Will taking time off cause more problems in your job in terms of you being reliable, etc. or will it be OK to do that?
In my case, I could not take time off as nobody could "fill in" and the work had to be done when it was needed, and could not be put off until later.
I was also concerned with damaging my reputation at work, and worried that time off might translate into relapse as work does provide a structure and incentive to stay sober and function.
So I toughed it out--yes, I also had panic attacks, physical illness, and incredible debilitating anxiety. But that got better as the days passed, and by the end of Week 2 I was glad I had decided to work through the detox instead of taking time off.