Pots have several specs. Basic ones:
-value, in ohms
-type, log, lin or rev log (response curve through its range)
-shaft size, threaded part that'll be mounted to the amp faceplate
-shaft shape, 'D', round, split (prob. not on anamp)
-shaft length, how far out the front it extends so the knob will sit right and clear the faceplate.
post layout, when mounting to a PC board - straight out, right angle in a striaght line or not, etc.
If it's newer, it may have posts that connect directly to a PC board, so you'd have to find the right form-factor as well as value and type, etc.. Depending on the space in the amp, you may be able to install a standard pot with wires leading to the PC board if you can't find the right fit. I've done that with broken input jacks when I couldn't find the molded, enclosed plastic 1/4" jack.
Then there's your comfort soldering (and the tools). I buy guitar pots from Stewart MacDonald and the only amp pots I've bought in recent years are for a vintage Ampeg, so I went to a specific vendor who sells accurate replacements. Others can probably suggest favorite suppliers.
Been mostly buying Alpha-brand pots recently and had good experience with them, though I've seen opinions to the contrary around here.
I've been happy ordering components from Newark - caps and ICs.
Lastly, this all sounds worse than it is. I'm sure you can find a good replacement without too much pain.