Having had a fair few long term injuries in my time I'm a firm believer in not pushing through the pain. If I were you I would do half deadlifts or whatever you can that doesn't aggravate the injury. It will get better if given a chance but it won't if you constantly stop the repair process. At least by doing half deadlifts you will feel you are doing something.

I'm not medically qualified in any way. This is just my experience in overcoming my own longish term injuries.

Fingers crossed whatever you decide tho