Jerash is an archaeologically rich city in Jordan and one of the best-preserved Greco-Roman cities in the world, offering a unique look into the ancient history. The ancient city holds numerous ruins, beautiful mosaics, and monuments that you can explore for hours, including the Hadrian's Arch, Hippodrome, and the Jerash Archeological Museum. Not only is the city historically appealing, but it's also quite safe and offers a warm, welcoming atmosphere, making it ideal for solo female travelers. However, while the city itself is fascinating, the scope for other varied activities might be a bit limited, it might be less attractive if you're not that into history.