Since the OP has fled I guess we can all chip in! The trad wife movement is essentially about embracing 'traditional' gender roles within relationships and the domestic sphere (where the 'trad' part comes in, although you can very legitimately question what tradition they actually think they are following, which era / culture they're harking back to and did that actually exist in reality or whether they're cherry picking selected elements of a perhaps fictional golden age).
As I understand it there's quite large variation in how people choose to apply the 'trad wife lifestyle', at its most benign end it can be taken to mean women who enjoy traditionally female crafts and interests like baking and sewing and/or who prioritise their home and children over their career (and men support them to do so), to at the terrifying/extreme end you get extremist religious cults where women's freedoms are totally curtailed and every aspect of their lives, money, sex, where they go and who they see, how many children they have with whom, are totally controlled by men.
At the heart of the movement/belief system though is that the man is the the leader of the household and should control and be responsible for earning the money/the economic health of the household and the women control and are responsible for the emotional and domestic side i.e. taking care of the house, cooking and childcare, and the woman 'submits' to the man's leadership and guidance particularly on matters outside the home and family environment. It's the submission part and the fact it's a strict division encompassing the couple's whole lives that distinguishes it from the more 'modern' SAHM who while she might be temporarily (or more unusually even permanently) not earning a salary doesn't usually believe that means she has no say in the economics of her household, or because her DH is working 9-5 he should have no say and do nothing towards the household or raising the children.
There's then a debate about how the Trad Wife movement sits on issues that don't neatly fall into either the inside/outside the home division of labour, such as does the man get to tell the woman what she should think/believe about politics/religion (or does she get to have any opinion at all), does the man earning the money means he gets absolute control over how the money is spent (or does the fact the woman is responsible for the home means in fact she's actually more responsible for the day to day spending at least), does the man's 'leadership' and woman's 'submission' extend to sexual matters and consent in a potentially problematic way etc etc. Funnily enough more often it winds up that the man gets to decide more of this than the woman even though on the tin at least the man's role and the woman's are meant to be equal but different... Obviously the rise in this type of thinking can be linked to a lot of alt-right type ideologies...