Is there enough slack on all the cables to move it to the new location? If so, there's no issue.

The things that hold the cable to the wood are called staples or clips.

Are you moving it to the left (where there seems to be another wire), or to the right, out of the picture? What do you plug into the receptacle?

The wires go up the stud on the left and right over to the stud on the right. The wire is right under the top of the drywall where it’s cut so there would definitely be enough slack. The lightswitch is to a useless ceiling vent and we rarely use the outlet because it lies halfaway under the back of the stove. I thought about removing it all together, but at least if we can move it over it’ll be more practical. I would need to un attach the wires from the stud on the left to move it. It seems simple, but I want to make sure we do it right.

You don't want a switch or an outlet positioned so that you have to reach over the stove.

I meant to say, hopefully it can be moved to the left stud where the other wire is.

I already cut my drywall patch. Is there an different type of two gang outlet box that I could use other than the one pictured that wouldn’t require me to cut more drywall to be able to attach it? Thanks again

That's on older style box. You can get a plastic box at any home center that nails from the side:

Thanks for all of the info. I still haven’t made a decision on what I should do. There’s only one wire out of the 4 that makes this difficult because it runs all the way to the outlet/stud on the right side of the stove. As for GFCI.. we had a home inspection a year ago and they required that the old owners put GFCI’s near the sink, but left this one alone.

If the difficult wire runs to another outlet, it is easily replaced with a new wire.

I second mtvhike suggestion. Patching a slightly wider rectangle of dry wall takes the about the same amount of effort to repair and might be easier to secure the drywall patch to multiple studs.

I would trace the wire back to the other outlet and checking if it's possible to run a new wire. Or put a junction box behind the stove if it's allowed by your electrical code.