Terry Gou has challenged Beijing's leadership as he said: "[China] must acknowledge the existence of the Republic of China." The Republic of China is Taiwan's official name. The People's Republic of China, what we commonly know as "China", has been restricting Taiwanese leadership while trying to influence politicians to favor Beijing leadership. Gou is apart of the Kuomintang political party, which is a historical party that has had violent conflicts with the People's Republic of Beijing.
Terry Gou is one of Taiwan's richest person, estimates value him at around $7.8 Billion. He and many other Taiwanese businessmen want more autonomy from Beijing and hope to expand trade with the west. Beijing, and the Communist Party of China, recently have expanded the Trade war against the United States in retaliation to Trump's tariffs. China has retaliated by expanding tariffs of their own affecting over 1000 products, and hundreds of large and medium-sized corporations that rely on shipments from Taiwan. Today, the Dow Industrial Average fell over 600 points after the announcement of China's new tariffs.
The United States currently has a $410 Billion deficit with China. The current president of the Republic of China (Taiwan), Tsai Ing-wen, is the first woman to hold that office. She is currently serving 4 years per term with an election arriving in 2020. She assumed office on May 20th, 2016.