There's nothing inclusive in your attitude, only anger and blindness to the most obvious, harmless interpretation.
The author decided not to tell us anything about who he taught -- where on that range she fell -- just what her social role was... His.
That's what people are objecting to: in an article about teaching your gf something, why not make it about who she is as a student and what she learned instead of her social status as your mate?
It's that fundamental phrasing and framing of her, as it being more important to know her social status than anything about her academics, that people object to.
(All that aside, this is a silly thing to complain about. But it isn't nothing.)
Edit: I have to redact a little bit, clearly "my girlfried" is possessive and exclusive, I feel slightly offended. I hope this sounds like sarcasm, although it is petty.
Maybe you should stop shoving politics (no matter how well intentioned) into everything.