Is this the correct fuse to use on the primary side of a transformer?
A fuse should be large enough to handle not only the rated current but also surges. A fuse should be small enough to guarantee that it opens under fault conditions. A fuse is not accurate enough to be a current limiter.

So what fault conditions do you want to catch? A fuse isn't suitable if you define a fault as 'secondary drawing 1.5x rated current'. A reasonable fault to catch would be 'secondary gets short circuited'. One option is measure the transformer draw under short circuit conditions. Another is to compute, from the winding resistances, what it should be. This puts an upper limit on your fuse value (see below).

For the minimum value, start with a time lag fuse slightly larger than your rated current. Switch on 100 times. If it fails at switch on, replace with the next size up (small fuses tend to be available in an E5 series, so 10, 16, 25, 40, 63). If you need to rinse and repeat this too many times, make sure you're using time lag, and not fast blow.

Not only do transformers have an inrush, so do rectifier-capacitor filters. You can use a fast blow after the main reservoir capacitors, where it will be most useful, not before.

(I did once use a bench instrument from a well-known manufacturer (no names, no pack-drill) that employed a crowbar on the DC power supply, that was prone to nuisance tripping. Unfortunately, when triggered, it didn't draw quite enough current to take out the main fuse, so the transformer sat there and cooked, destroying the instrument by coating its insides with condensed transformer insulation)