So my friend (of the Katyayan gotra) she is saying that kshatriyas are the masculine dominated varna, while braahmins are the androgynous dominated varna, a combination of masculine and feminine characteristics. Does this idea have any support in scripture?
I am not an avid researcher just a curious fool but as far as i know(it's a lie i did a lot of research for the same) here is a part from Rigveda and i hope it will be able to answer your question.
यत् पुरुषं व्यदधुः कतिधा व्यकल्पयन्। मुखं किम् अस्य कौ बाहू का ऊरू पादा उच्येते॥११॥ ब्राह्मणो ऽस्य मुखम् आसीद् बाहू राजन्यः कृतः। ऊरू तद् अस्य यद् वैश्यः पद्भ्यां शूद्रो अजायत॥१२॥ 11 When they divided Puruṣa(divison of varna) how many portions did they make? What do they call his mouth, his arms? What do they call his thighs and feet? 12 The Brahmin was his mouth, of both his arms was the Rājanya made. His thighs became the Vaiśya, from his feet the Śūdra was produced. --Rigveda 10.90.11-2
As for the idea being related to scriptures i don't really want to state my opinion at least not until i can find an old scripture without any tempering or modification.