What are some practical ways for seniors to enjoy occasional outings, like dining out or visiting a mall, without feeling isolated?

Yesterday I went on my normal walk, this lady I have never seen in my life, started following me she was so close to the point I asked her was she following me? She replied no. What should I have done differently?
What do you think of the fact that there are now more 9/11 cancer cases among survivors who resided, worked, or attended school near Ground Zero than among emergency responders?