Basically I would say you are 99% safe if you take a walk on the street in the middle of the night. However , for your own safety, keep alert for that 1% situation would still be recommended. 
If you feel unsafe or require some help, there are always late night stands or 7-11s that light the night for you.

Nelia

Taipei

Taitung

Nantou

Keelung

New Taipei City

Taoyuan

Yilan

Hsinchu

Taiwan, an East Asian destination located off the southeastern coast of China, proudly stands as a vibrant fusion of tradition and technology amidst serene landscapes. Famous for its bustling night markets such as Shilin and Raohe, Taiwan offers an incredible variety of tasty street food, including the signature beef noodle soup and bubble tea. Natural beauty abounds on the island, from the gorgeous Sun Moon Lake to the magnificent Taroko Gorge, while its capital, Taipei, captivates visitors with its futuristic Taipei 101 skyscraper, treasured National Palace Museum, and historic temples pulsing with age-old rituals. Taiwan, with its intriguing blend of Chinese, Japanese, and Western influences, promises a rich cultural experience that is uniquely its own.

Taiwan

Taoyuan District

Is Taoyuan District Safe for Solo Female Travelers?

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Safety in Taiwan