I think you are supposed to be doing a 2 stitch cable…
YOU first 'work" stitch 2 (on left needle) (but don’t attempt to remove the old one!)
then you 'work stitch 1 on the needle-
With both stitch 2 and stitch 1 worked, you now can let both of them fall off left needle.
YOU could use a cable needle for this simple 2 stitch cable, but its not that hard (well with a little practice its not that hard!) do just work the stitches 'out of order" (first 2, then 1!)
the reason for the tricky needle movement is stitch 2 will be “on top” (and you don’t want it twisted) but stitch 1 will be the under stitch of the cross… (and it won’t be as noticable if it is crossed–though your instructions have you knitting it uncrossed)
Practice it a bit… (and look at your pattern)
if you feel uncomfortable, you can always use a cable needle for this 2 stitch "twist’ or “cross” stitch…its slower… but knitting isn’t a race, and you always have the option of going the slow way!