My old td5 leaked there for years, only leaked when it was cold and lost so little coolant I never bothered doing anything about it.
There are tales of people drilling the manifold in situ so you can get at the plug without touching the exhaust. Knowing how these things like to warp the manifolds I would be tempted to just bite the bullet and remove manifold, replace gasket etc
+1^
Having had the well-known nightmare of the warped manifold, i would say if yours has not warped then this might be the time to do a bit of preventative work while you are there.
When mine warped it pinged out two or three studs and one was snapped off below the surface of the head.
So if you manage to get yours off without stripping a thread you'll be very lucky.
Only sure way of doing that would be to split all the nuts!
Once off and reground flat, I was forced to replace a couple of the studs with bigger ones, i.e had to drill out and cut new threads, then fit bigger studs. This is very typical of what others have had to do.
I then ensured it couldn't do any more damage by drilling the holes in the manifold (and gaskets) out a bit. cylinders 2 and 4 by a mm and 1 and 5 by 2mm, to give the manifold a bit of "wiggle room". Other people have also sawn through the webbing. Purists/professionals would helicoil the damaged holes.
So you could maybe, if yours hasn't warped yet, saw through the webs, and then remove the web where the core plug is and hope to get it out without damaging the thread. But I seriously wonder why anyone would ever want to remove that core plug except if it rusted through. A pro on here or someone with more knowledge than me, will tell us! But everything i have read on this says the same, namely that they don't come out without damage to the thread.
Bodger's solution, (You didn't hear it from me), drain the coolant out, let everything dry off, mix up some two part adhesive of the liquid metal type, JB weld or whatever and cover the core plug and surrounding metal, once you have cleaned it all up and given it a bit of a rough sanding to provide "grip"
https://www.google.com/search?q=why...ome..69i57.5709j0j15&sourceid=chrome&ie=UTF-8
Let it cure overnight. Then. refill and go. TBH, I prolly wouldn't even drain off the coolant, I might just jack up that side of the car. Many epoxy adhesives set under water anyway.
See
https://www.google.com/search?q=epo...hUKEwjTi7KwpMbvAhX0nFwKHScWAuIQ4dUDCA0&uact=5