With a 2013 iMac, why not save yourself a whole lot of hurt and just
use an external SSD as a boot drive? It may not be as fast as the
card approach but it will be much, much faster than the internal HDD.
I did this from day one when I bought my 2013 iMac without any problems.
Just plug in the drive, format, clone the internal using Super Duper or
Carbon Copy Cloner and your done! No tools necessary! The only
time involved is cloning the drive, which you would do anyway.
Alternatively, accessing that card slot requires a complete disassembly of your
iMac. Just replace the HDD with a standard SATA SSD. The amount of work
(and risk) is much less as fewer items need to be removed.