Natal, as a general tourist destination, offers a good sense of safety with its friendly and welcoming locals. However, just like any other city, it has areas of concern particularly during evenings. It's advisable to stay in and travel through well-lit and populated areas. Always keep your belongings secured and be alert, especially in crowded places. As a solo female traveler, pre-booking trustworthy transportation is suggested and also avoiding isolated places, particularly at night. If you take these precautions, you should be able to enjoy a largely safe and enjoyable trip to Natal.