Where did the spoke break? Any wheel with a broken spoke most be at least slightly suspect unless there is already a good explanation. If there nipple sheared then the length is suspect anyway. If it failed elsewhere then stress relief is suspect and should be done thoroughly.
The thread length is normally around 10mm, not 12mm (the length of a normal nipple). But you cannot be sure without checking, it could be as short as 8mm. You should take out a spoke and measure it properly, at least fully unthreaded from the nipple and at that point you might as well take it out of the wheel. You can also check that the rest are well seated into the head of the nipples.