Atyrau, overall, is regarded as a fairly safe location for solo female travelers. Locals are often friendly and crime rates are relatively low. Like any city, there may be some areas to be cautious of, particularly at night, but common travel safety practices such as avoiding isolated areas late at night and not displaying conspicuous wealth should generally ensure a safe experience. It's important, as always, to stay aware of one's surroundings and maintain personal safety precautions.