If your DD is so keen on “inclusivity”, why is she promoting an ideology that is in fact deeply exclusive?
The ideology of transgenderism erases the material reality of sex, which excludes a great many women from women’s spaces, and a great many same-sex attracted people from the organisations and communities that were set up to promote their needs and rights.
Now spaces and services for women can be accessed by biologically male (and I mean totally unmodified male) people, regardless of the impact that has on biologically female people; and the “queer” community has been appropriated by opposite-sex attracted people who define as queer because they’re trans/NB/pan or whatever.
Many lesbians have been ostracised by their own communities, some have even faced violence, for the crime of not being interested in dating “lesbians” with a penis.(Although, interestingly, gay men are not under so much pressure to get intimate with biologically female trans people and their “manginas”. I wonder why that is?)
So the people who are actually more vulnerable and marginalised - females and genuinely gay people - are the ones being excluded, while heterosexual males are positioned front and centre, same as they always were, under cover of “trans rights”. Even words like “woman” and “gay” are being taken away from those they were originally meant for.
Ironically, given your DD’s intentions, if I saw someone wearing a T-shirt like that, I’d think they were most likely an ignorant, deluded bigot.
Anyway, OP, clearly her priority is making a point rather than making him happy, which doesn’t indicate anything good about their relationship. Maybe that’s what you and your DH should be focusing on?