I got a lot better in many ways this last month and I'm pushing myself a lot now, so pushing yourself does help, and indeed may be necessary, BUT...

I took so long to get better because I might have pushed myself too early. I think what really let me get to where I was able to push myself was giving myself 3 lucky weeks or so where I was able to do nothing all day and sleep as long as I wanted, whenever I wanted, while just managing the house.

I think that you'll realize when its time to push yourself, and I hope you'll rest as much as you can before that!

Side note, I also couldn't read the original post until it was rewritten. I'm glad I wasn't the only one, I felt bad!