In terms of rights:
On the LGB side - There has been some rhetoric about people being allowed to refuse service to LGB people and to discriminate in employment against LGB people on the basis of the service provider’s or employer’s religious belief, to bar LGB people from adopting. Also, effectively, bringing back clause 28.
On the women’s rights side - abortion is the big one, but also some rhetoric about husband’s having a right to medical information about a wife’s pregnancy and medical treatment while pregnant, it being criminal not to follow lifestyle rules (not smoking, drinking, etc) while pregnant, rhetoric against state financial support for one parent families, rhetoric about making divorce harder, rhetoric against rape in marriage being criminal, rhetoric against the current criminal law on domestic abuse - in particular some aspects of coercion and financial abuse.
A lot, but not all, of this is pretty fringe at the moment. But if some comes in, the rest gains more of a foothold.
I think the bigger threat to women, initially, if religious nationalism gains power, is the change to discourse and social norms. That would make it harder for women to live in a way that wasn’t in keeping with social expectations, even if they legally had the rights to do so.