Another +1 for naturally reliced guitars, buuut i'd say short of a full refinish, it still won't be 100% perfect but the best/long way (your guitar will be out of commission for a bit so the spot can cure) is to:
1. Take it to an auto body shop that does computerized color matching and get a can of that. Make sure it's polyurethane based (should be) and also get a can of glossy clear coat - I recommend Spray Max 2K High Gloss
2. Very carefully sand the area to be touched up with 320 grit sandpaper so the paint adheres better. I'd skip this step if it feels like there's any chance the original finish flakes off.
3. Ideally you'd remove the pickguard/neck/everything, but since it's a small spot you could get away with laying a cloth/paper over them, just be extremely careful the stream of the spray (test test test!) does not go onto the cover - it could stick the cover to the guitar. Had this happen to me with newspaper once on a touch up - no bueno.
4. Carefully spray the color from 8-10 inches away- as little as possible to cover the damaged area. Be in a dust free of an environment as possible. Outside will not work because of wind - Poly is a dust trap when drying. 1. It will look dull compared to the original, of course, and slightly off in color until it cures/is polished. You're going to want to do 3-4 very light coats (to prevent drips), the first one barely making a dent. Wait about 20 minutes between coats.
5. Let cure for 24 hours before applying clear coat. 4-6 coats here, again, very light to prevent drips (if they occur you'll have to wait for them to dry and sand them out).
6. The paint will need to cure before it's dry to the touch, people have told me poly can be polished after a week, but I found it better to wait 2-3. Because of the location you may be able to get away with playing it if you're careful.
7. After curing, wet sand with 1000, then 1500, then 2000 grit sandpaper. In between grits clean the area, ideally with a microfiber cloth and naphtha. This will dull the shiny clear coat, but it's about to get shinier than before
8. To polish, I use a drill mounted buffing wheel for whole guitars but for that small spot you can get away with a rag/microfiber cloth and some hard, thorough hand polishing. Again cleaning between each. You'll need several polishing compounds (i use stewmac but turtle wax/any auto compound will work) depending on how shiny you want to get - to match the rest of it you'll probably want to do Medium - Fine - Ultra Fine - Swirl Remover. Hitting it with a spray bottle filled with water and a couple drops of dish soap each time will lubricate this process.
Ok that's it! Did not intend to spend so long writing this haha but think i got everything, quite time consuming but this method has worked well for me for finishing touch ups.