I am not telling you this, because of course it would be inconsistent with the purpose of your visa if you were teaching English in Taiwan. But theoretically, if a person were to be in Taipei, and that person were to be an accomplished jazz musician, and that person were to cultivate private English teaching relationships -- er, I mean, language exchange opportunities in which one party expressed its gratitude by way of cash, simply to "invite" the other party for a tea or whatever, you understand, though there might theoretically be significant cash left over after that tea were purchased -- it wouldn't be outside the realm of possibility that the English orientation of said relationship might evolve into a musical orientation. Or, theoretically, if such a person were to put up an ad at local colleges that offered music programs, he might meet some people interested in both English and music. He might also find that teaching non-majors was a more rewarding endeavor in Taiwan, since the non-music-majors would be more inclined to delve into the music without obsessing about grades and "the right way to do it", which, again theoretically, probably aren't the best drivers for increasing jazz improvisation skills.
(He might also find, probably to his theoretical dismay, that people might tend to value his native English more than his musical skills, and rely on his English knowledge more than his musical knowledge.