The tropical cyclone (typhoon) season in Taiwan normally runs from May to November. In the event of a typhoon you should follow the advice of the local authorities and monitor alerts issued by the Central Weather Bureau. See Natural Disasters
There has been a significant increase in cases of dengue fever. See Health
The UK does not recognise Taiwan as a state and has no diplomatic relations with Taiwan, so limited consular services are available to British nationals.
There is a low threat from terrorism. See Terrorism
Around 38,000 British nationals visit Taiwan every year. Most visits are trouble-free. Nevertheless, you should maintain the same level of vigilance as you would at home, and take sensible precautions.
Crime levels are low, but small-scale petty crime does exist. You should maintain at least the same level of vigilance as you would at home, and take sensible precautions.
Take out comprehensive travel and medical insurance before you travel.