Qatar is generally a safe destination for solo female travelers. The country has low rates of crime and the locals are usually helpful and respectful. However, remember, Qatar is a conservative Muslim country, so it's essential to respect the local customs, dress modestly, especially when visiting religious sites. It's advisable to avoid wandering alone late at night in less crowded or unfamiliar areas. In case of any emergency, the local police are prompt and responsive. On the whole, with common sense and respect for local customs, you should feel comfortable and safe in Qatar.