Cerro Punta is generally a very safe place for solo female travelers to visit. It's a small, rural town that's often used as a base for exploring Panama's nearby national parks. The town itself is quiet and there's not a lot of crime. However, as always, you should exercise basic travel safety precautions like not walking alone at night, especially in remote areas. It's also advisable to avoid publicizing that you're traveling alone, just as you would anywhere else in the world.