You also said that I can't pass for Greek but a Greek have mistaken me for Greek in real life. The case here is different because she is Greek, I'm not, so for me you may be right, but for her you aren't. Just because she doesn't look Greek to you (and to be honest to me too), this doesn't mean that she isn't Greek.
Unless she is Slavophone...too bad in her facebook it isn't written from which town is she.
I think she looks Greek here (she appear to be Pontid and has big eyes):