The smartest action to take after leaving the unexpectedly kind woman's small farm was to go in the exact opposite direction of the women's shelter she suggested. Hermione knew it was dangerous to go anywhere someone else might be expecting her to go. That's how a fugitive got caught. By making simple mistakes or listening to seemingly kind-hearted people who might try to lead them astray. Even though neither of the women exchanged names, it wouldn't be too difficult for the wrong sort of people to discover Hermione's whereabouts. The Dark Lord's spies were everywhere. And, if she was honest with herself, Antonin's influence was far-reaching as well.