Taiwan is generally considered very safe for solo female travelers. The crime rate is pretty low, particularly against tourists. Public transportation is reliable and convenient, including late at night, and it's not uncommon for women to also be out alone. The locals are typically helpful and respectful, so you can expect to feel comfortable while traveling around. However, like any global cities, it is always important to take basic precautions, such as not wandering into less populated areas late at night.