Would you move? Be extra cautious? Treat them civilly? Ignore them completely?

There is a pedophile in my area that I see a lot (at the grocery store, at the mall, in passing, at the post office etc) I know the exact nature of her crimes and what she did because I googled her. I won’t go into detail but it was bad. She committed her crimes in the 80s and completed prison time. I feel so uncomfortable every time I encounter her and I hate her being in the same space as my child, even if it’s for a short amount of time.