This resistor will get overly hot when there is a fault in the circuit, which would eventually blow the fuse.
That resistor and the other 270 Ohm resistor handle the same amount of current, but the one that goes across the power transformer is easier to notice. In normal operation, that 5 Watt resistor sees about 1.3 Watts of power, which leaves a very large safety margin, and the operating temperature in that situation is well below any threshold of concern.
You can replace that resistor with a 10 Watt part, but the real solution is to fix the issue cooking it in the first place.
-PB