Fremantle is generally a safe place to visit for solo female travelers. The crime rate is relatively low, and locals are friendly and willing to help. It's important to be aware of your surroundings and take usual travel precautions, particularly at night. Public transportation is reliable and mostly safe, and the city's walkability is high, making it easy to explore. Overall, Fremantle is safe, but as is the case anywhere, vigilance is key.