Starting February 7, 2020, the Republic of China (Taiwan) will implement a temporary measure prohibiting foreign nationals who in the previous 14 days have visited or resided in the People’s Republic of China (PRC), including Hong Kong and Macao, from entering Taiwan

From Public Diplomacy Coordination Council, MOFA 2020-02-06
  1. In view of the fact that the Taiwan government on February 5 designated all areas of the PRC (including Hong Kong and Macao) as being severely affected by the novel coronavirus outbreak (areas of level 2 or higher), foreign nationals who have visited or resided anywhere in the PRC, including Hong Kong and Macao, in the previous 14 days will be temporarily prohibited from entering Taiwan starting February 7. Entry visa applications by such foreign nationals, including those submitted for special reasons, will not be accepted by Taiwan’s overseas missions while this temporary measure is in effect.
  2. Foreign nationals possessing a valid Taiwan Resident Certificate who have visited or resided anywhere in the PRC, including Hong Kong and Macao, in the previous 14 days shall self-isolate at their home after returning to Taiwan and be under home quarantine for a period of 14 days.
  3. The aforementioned measures will officially take effect on February 7, and may be adjusted based on the development of the novel coronavirus outbreak. (E)