I don't think gender ideology means women are more likely to be pushed back into being homemakers. The kind of femininity that trans identifying male people perform generally has nothing to do with housework or caring roles. Rather, it's a pornified vision of womanhood which reduces women to sex objects. Even the language around gender affirming surgery shows this. Describing what post op trans women have as a "vagina" suggests that you think a vagina is just a hole for a penis, rather than an incredibly intelligent part of female reproductive anatomy.
Being told that someone like Dylan Mulvaney or Monroe Bergdorf is a woman, that being a woman is all about makeup and long hair and short skirts and push up bras, rather than simply being female, probably does push some young women to identify as trans or non binary, cut their breasts off and "live as a man" in order to escape all that. So no, gender ideology isn't pushing those girls into becoming homemakers, it's pushing them away from that by making them dissociate from their own female bodies and reducing the likelihood that they will ever become mothers.
Of course, even among Democrat voters the overwhelming majority of young women aren't trans and so the priority for them is having control over their own bodies and reproductive rights so that they can pursue their ambitions, whether their ambition is to be a mother or to be POTUS.
So overall I think Trump as POTUS is demonstrably worse for women than Kamala Harris as POTUS and it's hard to argue otherwise even with all the trans stuff. I think the main issue with the trans stuff (apart from the individuals who are directly harmed by it) is that people who are so concerned with not hurting the feelings of male people who want to be women that they refuse to say what a woman is or acknowledge that we need a word for female people are completely ill equipped to be fighting for women's rights. They can barely even convince themselves of what they believe in. They don't have a snowflake's chance in hell of convincing anyone else. And that's why they've failed to win the female vote, when it should have been easy.