Different cultures have their own ideas of what behaviors and dress are stereotypically considered masculine or feminine - what is "woman's work" or "man's dress," etc. - and I've been wondering if explorers and colonists interacting with Native Americans, as outsiders looking into those cultures, interpreted everything through their own masculine/feminine lens, so to speak. Do we know how Europeans handled behavior that fell outside their experience of gender norms?
If we take Native American as a term not just for indigenous people in the modern-day US/Canada but in the Americas more generally, then you may find this earlier thread interesting - dealing esp. with central Mexico and the Aztecs and including two answers:
Mine looks more generally at gender roles and female education in pre-Hispanic and into early colonial times, with a focus on colonial changes. So less on European perceptions then on the impact of colonisation on gender norms.
I'd also very much recommend checking out this one by /u/400-Rabbits for more detail on pre-colonial female education and women's daily lives (in the follow ups too).
I've also looked at one famous indigenous woman, Malinche/Malintzin, and her role during the Spanish-Aztec war over here.
They may not answer all your questions but hope it helps! In case of follow ups to my answers you can just let me know here.