"Non-Greek" Greek

[Lamb]

Hello, everyone!
I am an alumna of a GLO. My society was founded almost 100 years ago as a "secret & selective sorority". We have a badge,song, prayer, motto, flower, mascot, coat of arms and secret sign and password. We hold candlelight ceremonies for our Founder's Day celebration, our initiations and when one of our sisters becomes lavaliered or pinned. I received a bid to join my sorority, and as a pledge, went through a lengthy preparation period prior to being initiated; required to throughly understand the meaning, ideals, structure, history, traditions and organization of my sorority. I had a Big Sis, was a Big Sis, and as an officer, was chosen to be pledge mistress for the new pledge class for whom I had to prepare a Pledge Examination. My sisters & I are expected to remain loyal and active in our group for life. We had a social chair and an active social calendar, holding mixers and other events on campus with other GLOs. We participated in Greek Week and dedicated ourselves to philanthropy, service to our community and scholarship. We are not an honor society.
Recently, while wearing my lavalier, I received a comment that I "wasn't really Greek." Why? Because all of the women in my GLO pursue a particular field of study; we belong to a "professional fraternity" and are members of the PFA, formerly, the Professional Panhellenic Association.
I'm apologize for the "long read", but I was curious and would like your opinions. How do you feel? Am I a "Non-Greek", Greek?
Thanks in advance for your thoughts!
Diane