"Die Frau mag sein Geschlecht."
this is the second strange/funny german translation in this lesson (the other: "irgendjemand erkennt das Geschlecht nicht". It´s VERY uncommon to say "Die Frau mag sein Geschlecht". It seems to me, that people saying this try to flirt with you - in a strange way! LOL.
Well, maybe she's bisexual, and has recently left an unsatisfactory lesbian relationship…
Gender and lineage, yes. Family, only in the broader sense including ancestors.