On one hand, it's okay to not exercise every single day. Your body needs rest here and there. I try to do 3 days on, 1 day off and cycle through that.
On the other hand, the exercise could help after a long day. I sleep so much better when I exercise, especially in the evening before bed. Usually when I've had a busy day like the one above, my mind is racing like crazy and it's hard to fall asleep. The exercise calms me down and clears my head. Then, the next day I feel soooo much better than if I had just laid down on the couch for that hour.
I like to DVR my favorite shows and then exercise to the shows - bike, treadmill, eliptical, whatever. It takes my mind off of the workout (I set speed "rules") and the time goes by so fast. The show ends and viola' - I have an hour of exercise in.
Try the 5 minute rule - put your exercise clothes on, start the workout and get 5 minutes into it. If you are still zonked and exhuasted and not there mentally (and it "could" be a rest day), go ahead and stop. So often, it's inertia that keeps us from working out. It's that s-t-r-o-n-g pull on us to keep sitting on the couch. Once we get up, we're fine. But man can it be hard to get up. And my head is soooo good at coming up with rationalizations to keep me on the couch. This is where the 5 min rule can help.
Regardless of what you decide, don't let yourself feel guilty! Guilt tends to hang around and destroy us later.
HW: 225, lost 75lbs in 2011 LW: 150
Losing again starting from 190lbs - 10/16/2015
Small changes add up. Striving to better than yesterday.