I’ve been off work for a week due to a neck injury. I hate missing work, I feel major guilt that others are working harder for my not being there. I also have issues believing that coworkers/boss will think that I’m lying. I don’t know why I think this…

 I had a doctors note for the first week off and my boss responded with
 “I can’t keep covering your shifts. I’m having to pick up all the slack”
I explained it was out of my control and I was sorry for the extra work put on them.
Cut to now, a week later
I thought I would be ok by now to go back in to work but I’m still not well enough (I have a physical job and neck nerve compression is making those movements difficult.)
Instead of just saying I wasn’t ok to come back yet, I said a small lie, exaggerating why I wasn’t able to work.  I said I had to go to emergency, they checked me out and I’m ok.

It instantly made my anxiety go from a 10 to a 4. Knowing the response back couldn’t be as aggressive as the first I got from my boss.

I feel bad for lying. I shouldn’t have to lie, I’m actually injured. But it made my anxiety much better. 
Is it ok to tell a small lie if it doesn’t hurt anyone and it makes you feel better?