Thanks for clarifying. The fuse I'm asking about is on the primary side, which is why I was thinking 250v would be better. But then I read that a higher rated fuse would work fine since it is higher than any of the voltages on either side of the transformer.
My initial confusion, which is still lingering a little, is the term 'circuit' as it applies to a transformer. Does the circuit include everything on both sides of the transformer, or only on one side? It seems to me that if there's 120v on the primary side and 350v on the secondary side, and a fuse is on the primary side then it wouldn't matter what the voltage is on the secondary side because the transformer is like a 'wall' between the two. Is this understanding correct (so a 250v should work for the primary, because it wouldn't matter what the voltages are on the other side), or does the voltage on the secondary side factor into it?
And since a higher voltage rated fuse can work, then would 500v be good for the primary anyway?
Sorry for getting so involved in such a simple thing, but I think I need to understand this fully.