Help identifying fuse 3.6 x 10mm 125 V, 2.5A cylindrical maybe ceramic?
It is a ceramic fuse, but similar ratings can often be found in glass fuses for these smaller sizes - ceramic fuses tend to have higher interrupt ratings, but a fuse this small won't have a particularly high interrupt rating (likely in the tens of amps). Cap markings won't tell you the interrupt rating or characteristics.

Any equipment with a motor present traditionally will use a slow-blow fuse, but for small motors where the motor can run up to speed in a couple of seconds, the difference in characteristics is small.
 The more relevant question - why has the fuse blown? Probably worth checking that the rotor spins freely and the stator winding resistance is reasonable before popping another fuse.