Identify this insect with a big "face" pattern on its brown fuzzy wings
I fully admit that I am not an expert on Asian insects but having trawled through various species identification keys and collections I am fairly certain that the insect you observed was:

Deltoplastis commatopa

I lifted the following species description from Wikipedia and I think it matches your description &amp; photo rather well:


  Deltoplastis commatopa is a moth in the family Lecithoceridae. It is
  found in Taiwan and the provinces of Jiangxi, Hunan, Hubei and Sichuan
  in China.
  
  The wingspan is 16–22 mm. The forewings are light lilac-fuscous with
  blackish-fuscous markings, edged ochreous-whitish. There is a large
  subtriangular antemedian blotch from the dorsum nearly reaching the
  costa, connected with costa by an angulated mark. There is a large
  triangular postmedian blotch, its base posterior, reaching the costa
  and the dorsum, its apex cut off by ochreous-whitish to form a
  tadpole-shaped mark. The terminal area beyond this irrorated
  (speckled) ochreous-whitish, a blackish marginal line round it. The
  hindwings are fuscous, darker posteriorly.


Here is a screenshot of the entry in the Global Biodiversity Information Facility:

 

You can see from the entry that several occurrences have been reported (with images) by people in Taiwan.

I also found this Taiwanese biodiversity website (in Traditional Chinese) and thought I would include it here (although I have to admit that I am not able to read Traditional Chinese).