Firstly….is the existing fuse blown? no need to replace it if its good….I would buy a couple because often when you take these out the end cap becomes detatched and the fusewire pulls out of the glass holder, the fuse is 0.4A and sits in approx 14vac circuit.
The high temperature that has discoloured the yellow sleeve is heat generated from the voltage regulator circuit 2D4 (ZF6.8) 2R22 and 2TR6…..the fuse isn’t responsible for generating heat, this discolouration is very common as the regulator circuit does run hot…before you reconnect the fuse check you have the approx 14vac measured between the blue wire connected to the fuse and the blue wire connected to the PCB just above the rectifier…..this will confirm you transformer is giving the required voltage.
Craig