Havant generally has a good safety record. As a solo female traveler, you should feel comfortable while exploring this town during the day. At night, it is recommended to avoid poorly lit, deserted areas, as is common in most towns and cities. Public transportation is reliable and well-regulated, so you should feel secure using it. As anywhere, taking common-sense precautions such as not displaying expensive belongings openly will statistically lessen the chance of unpleasant incidents.