I've been out of the game for a long time but I would suggest being extremely polite and only do this in scenarios where being approached by a rando would be acceptable. Maybe if she's alone at a bar or some social event like Renaissance faire or comic con. Hell, if she's just waiting in a line for something and you're behind her, might as well talk. Be observant and do not interrupt her. Wait for an appropriate moment. If she rejects you, apologize, thank her for her time, and walk away(if you can) without another word.
I have been approached by men before while I'm doing something like looking at video games or comics/whatever. When they start by talking about what I'm doing that helped me open up to talk to them and it became successful interactions. Though I had to turn them down every time because I'm married lol I have made a few friends this way.
Side note.. I don't know why I'm like this but whenever a guy approaches me when I'm somewhere like home depot, auto zone, or Walmart, I become immediately annoyed and I don't want to know them. LOL maybe this is just me. I'm at these places with specific goals in mind.
Sorry that I only listed out nerdy things, it's all I know 😹. Good luck!
I know so many people including myself who want to protest but it's impossible to find out about it until the news covers it and by then it's too late