Slightly broken SD card is not readable on macbook
There's really no such thing as 'slightly broken' when it comes to electronics. 

If it's just the contacts, it may be possible to replace them. If you cracked the circuit board, then at best you will have to send it to a professional data recovery company, who will be expensive &amp; make no guarantees of recovery.

At worst, you now know why it is extremely unwise to ever trust something as delicate as an SD card or USB stick to be a repository for the only copy of any data. No important data should ever be kept in only one place, two at minimum &amp; three to be sure; the third not in the same building as the other two.