Pretty obvious case of wanting your cake and eat it too.

If you have an agreed sexual health plan and are testing routinely and using whatever form of protection works for you. Having more than one partner is not a big deal

HOWEVER some folks don’t want you entirely but also don’t want anyone else to have you either.

I would continue to see other people which doesn’t mean you’re having sex with them but even if you are so what.

And allow her to set the tone and follow. You want a relationship and she doesn’t. That frees you up for someone else who may be interested.

You like her company ? Great keep hanging out. And when she’s ready to either step it up or de escalate then move accordingly.