we officially met 2 weeks ago at the apartment gym , I opened by "offering" to give away my unused yoga mat because the community one she was using are nasty. We introduced each other and made a small talk that was it.

Last week, I was taking out my trash and she was just coming out of her door, I said "hello and told her she can reach out to my apt. for any trouble or emergency" and said thanks and then she kinda got shy and stared at her phone while waiting for the elevator.

How should I proceed? Should I drop it? Slow game? (Build rapport) or do I go Direct (aggresive) maybe ask her for dinner or go jog?, I dont want to seem like the weird neighbor stalker.