Bundanoon is a very tranquil and safe place for solo female travelers. It's a quiet respectably town with friendly and welcoming locals. Incidents of crime are quite low and it has an excellent reputation for safety. Local authorities are proactive and the area is well-patrolled. As always though, it's important to take standard precautions such as being aware of your surroundings, avoiding deserted areas at night and not leaving valuable belongings unattended.