Data Cable Through Drywall
Cut a 2&quot; x 4&quot; hole.
Pull the wire through.
Install a box eliminator.
Depending on what you are trying to do, either install a blank plate and route the cable around to where it needs to go, or install a plate with an RJ45 jack and cut the cable and attach it to the jack.

The worst result will be a blank plate for no apparent reason - but there are plenty of blank plates in buildings, so that is not a big deal.