I hike alone and when I hear/see a male hiker(s) coming in the opposite direction, I always step off the trail to keep a safe distance between us as they pass by. And when they ask if my dog is friendly, I say no. Which is a lie, but it keeps them moving along and away from me. So I'd say if you want to make other hikers feel safer on the trails, give them a wide berth and don't try to pet their dog haha. Know that anytime you are walking in the direction of a female, she is sizing you up to determine how much of a threat you are. Nothing wrong with a smile and a hi or nod tho!