There's one professional woman I see for help and at the last meeting she said she liked my hat, that it added mystery to my appearance, and complimented my coat and asked where I got it from. There was another time we were on the phone and she mentioned how I wasn't doing so well lately but at the end of last year I had a spring in my step and said that I was looking good too. Also every time we have met she at some point during the meeting starts curling her hair around while we're talking.
Would you say she was flirting?
I assume she's a healthcare professional and you're seeing her as her 'patient'? If this is the case then she shouldn't be flirting as it would be extremely unprofessional and she could get into a lot of trouble for doing so as it's abuse of a position of trust.