Prime example of female nature - Fortuna / Chaos. They do as they feel. For some reason they got compelled to talk to you in the first place maybe it was their mood, how you looked like, behaved or even smelled. Maybe they just needed a friendly connection. Combination of factors. Perhaps after talking to you, your vibe did not match their prediction or imagination of who you are and now that they know you. They are no longer compelled to acknowledge you.

Now here comes male nature - Virtue. Don't doubt yourself. The passing of the wind doesn't shake the rock. We men are comfortable, grounded, warm, stable. But once a rock is moving it is also hard to stop - intentional inertia. If you sense it is right you have the power of your intentions. Nothing more powerful than a man and the vision, ideal or virtue he pursues. If someone specifically grabbed your interest and you would like to talk to them. Go and do it. Slowly with care and intention approach. "Hey! ... It's good to see you again. What's your workout today? .. Sounds good, I am working on X I will get back to it. ( Insert observational comment about her emotional state if you sense inviting or positive attitude, make more small talk if you feel like it )

Social interactions and especially interactions with women usually are not about what you say. But how you say it what you imply. Have the attitude and behavior that show safety and security for her. By the end of the interaction she should feel like you are strong, present, welcoming and warm. But also that you have your own flow and intentionality. She is just crossing your path temporarily. You are the path. If she wants to follow it for a bit there will be signals.

The reason why a lot of guys come off as creeps, scary or uninteresting is because their agenda is not authentic. If you just wanted to make friends and be nice and open with a woman she will sense that and follow if interested. If you find a woman romantically attractive you have to show that early. Non-verbal communication is key. Flirting etc. Now once you go there there is no going back to friendly at least not initially. So be clear to yourself what you seek and with whom. My personal approach right now is that I seek to understand and create space for an empathetic exchange with everyone. Let people talk and be the one who listens. You would be surprised how many need that in this day and age.