Women staring. Help please.

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How do I deal with people staring at me?
I was at the gym, doing lateral raises in front of the DB rack. Behind the rack is a huge mirror. I was turning around and found a pair of eyes fixated on me. My instinctual reaction is to look back with a blank expression, but I felt strange to look into her eyes. So I looked away and positioned myself in a way where it was impossible to see her in the mirror. I decided to just ignore her, and kept up even when sitting on the rowing tower next to her, doing single arm rows, as I had no reason to talk to her. She fondled with her shirt (as not to expose her belly), did some lmao 30kg pull-down sets and finally went away. I think she felt uncomfortable. I felt awkward too.
>How do I react the social acceptable way, when someone/a female stares at me in the mirror?
>Should I smile and nod?
>How do I stop being creepy?
>pic related
At least I did a DL PR that day.