If you have to drill it out use an anticlockwise drill piece to reduce the shavings going into the cylinder, use a magnet inside the cylinder to collect any swarf/shavings and spray a lot of WD40 In there before putting a new plug in and starting it, the wd40 will help get the swarf out of the engine without damaging anything while it runs
Ford Triton engine? They have special kits just for this very issue. Common problem.
If it is a Ford Triton engine, take it to somebody who has dealt with it before. All the methods that involve the usual ways of removing a broken plug are likely to damage the head.
Get an easy out at the hardware store. It is a reverse drill bit. You need a drill that will run in reverse.
If the ceramic white part is broken up, the spark plug nut is still screwed in so you first use an air hose and blow out the bits of ceramic that sits in the spark plug well(depression) and then use a spark plug deep socket on the base. No different than any other plug. If you run into problems, see a mechanic. Then you did bigger damage. Mechanic knows by looking. Could even be a lawn mower or chain saw or motorcycle mechanic. They all know.
Good luck. It's not a job for an amateur.
If you mess up the cylinder head you'll be looking at a very expensive repair. $1000?
Your mechanic can do it. There's a tool for that.
Chip the ceramic electrode out so you can use an EZ-out reverse bite removal tool. Use a micro vacuum to clean out the cylinder.
If the aluminum head threads are jacked up, you will need a shop that can install a helical fix (typical issue on many Ford engines).
It does make one wonder why ford only has 3-5 threads in the plug wells, and why they continued to sell engines with bad heads.
Edit to add; Not only Ford Triton truck engines, it's also common on boxer engines and overheated air cooled engine jug plugs.
If you can jam anything into the section of spark plug left in there to see whether it will screw out easily it may screw out. If it wont then likely it is a job for a mechanic.
The lower part of the spark plug with the threads also has the 5/8" hex head for the spark plug socket. I've never seen or heard of anyone being able to twist the metal portion of the spark plug apart. Find a mechanic before you end up needing a new cylinder head or used motor!