Hard to say? I don’t really work out at the gym. I spend a lot of time at the ice skating rink because it’s fun and good exercise (that’s the closest thing I can compare this to so bear with me). Also occasionally I guess I’d have interactions at things like fencing tournaments where we’re sharing space to warm up and stuff? Anyway. I don’t mind when dudes come up to me there if it’s very clear that it’s platonic. I’m a little on edge, sure, but it’s a public place and if they give off friendly vibes then I’ll hold a conversation.

Just don’t be weird, and don’t interrupt her. If she has her earbuds in, probably don’t make small talk. Pay attention to her body language, and probably end the conversation if she’s uncomfortable.

TLDR; making friends is fine just think about how you’d like to be approached if you were in their shoes :)!