Need Help with Screw Removal.

[Sir Spacey]

I have no experience with this, but what I would do is get some sort of stick and paste some really strong industrial glue on the end of it and push it into the screw to secure it in place (since it is a screw, pushing it together shouldn't make the situation worse).Then just keep turning the stick so the screw unscrews itself. Once out, expose it to heat and the glue should melt