Double protection:
1. A Fast Blow Fuse in the power transformer primary for the inrush current of a cold amplifier at power up.
Example: Cold filaments (1/4 of hot resistance, 4 times the current at turn on), and if the B+ uses solid state rectifiers, the charging of the filter cap is very quick - a large turn on transient current.
And . . .
2. A Slow Blow Fuse in the power transformer primary so that if a warmed up amplifier has a fault . . .
An output tube that has thermal run-away current; an output tube that has the screen get hot and deform badly, so that it touches the control grid (short).
All my amplifiers have the power transformer primary fast blow and slow blow double protection:
One of my amplifiers has a 1.5 Amp fast blow fuse for the inrush, and a 0.5 Amp slow blow fuse in case of an output tube fault.
Your fast blow fuse and slow blow fuse ratings will vary (measure the maximum inrush current; several times; it happens on a cold amplifier, when the power switch comes on at the crest of the sine wave).
Or
Start with a small value fast blow, if after a few cold start ups, it blows, then use the next higher current rating.
Then, after finding the correct fast blow fuse, put in a small value slow blow in series. If it blows, then try the next higher current rating, etc.
One amplifier I had would power up and run for many hours; it had a 0.5 Amp slow blow fuse; but after a few weeks the slow blow fatigued and opened up. A 600 mA fuse now always works (0.6 Amps, just a litter hard to find a source for one). It never blows now.
Just my opinion.