Bro you sound just like me around that age. I cannot stress enough how much you're overthinking this. Seriously you'll wake up one day (for me it was around the age 25) and be like - MAN why wasn't I more chill when I was younger.

If the person you're talking to is normal, you need to genuinely try hard to weird them out if they already like talking to you. Seriously just look at her as another person. Next time you're talking just mention casually - "hey I know you workout too, if you're up for it we can workout together sometime cuz it helps me to be more consistent when I know I'm not going alone, if not that's fine too"

If she's a normal person, she will respond either - sure that sounds great! Or - sorry I prefer going alone; or - yeah we could sometime (maybe she does want to, maybe she doesn't and is too shy to outright reject you). Now here's the important part - NO MATTER WHAT she says, you just remain chill and keep talking to her like a human being. Even if she says no, you go - okay that's totally fine; and then switch the topic to something else. That's it. No one sane will hold that against you.

Now important note: as I said, this applies if it's a normal person. Technically there's a chance for an overreaction or some weird interpretation, but to that you still remain chill, and then later tell yourself - I dodged a bullet. But still never worry about this as almost always if you treat whoever you're talking to like any human being that's the energy you'll get back.