chadderbox, since the blue inductor is a coil and not a fuse, you will have to replace it. It is available a multiple places, just do a Google search.

I just create a little jumper with soldering iron and it works 99% of the time. No need to replace the blue inductor.

The answer to your questions, how to fix the blue inductor coil causing a signal problem, the solution is easy we have repaired many with a 100% success rate. If you look at the signal antenna which you plug the cable into, simply run a wire from the left side bridge it to the right side point on the blue coil and follow it all the way to the furthest (right) component on the top left side. This will act as a 'bypass route' and your signal will start to work again.

All it takes is a bit of micro-soldering knowledge and some 0.1mm wire and basing soldering equipment. This will fix your problem guaranteed, providing it was the missing blue coil that caused your signal issue in the first place.

Kind regards,

Ideal mobiles