If you need accuracy of removal, probably the best bet is spark erosion, at a cost £££.
The difficulty will be drilling in the centre of the broken part.
If you need accuracy of removal, probably the best bet is spark erosion
EDM doesn't get you any better than milling/drilling, your main problem is still accurate positioning. EDM is only necessary when whatever is stuck is too hard to attack with a carbide cutter.
It's in a tricky location thats why I wondered about "welding" glues. Pretty sure I've got some of that threadlock so will give it a go.
@JurekB - cheers. So any cobalt bit from a reputable brand will do the job.