I agree it’s sexist to assume women are nurturing by nature - as MsLady said upthread, I personally feel like I’m reading from a script or something when I try to be “nurturing”. It just doesn’t feel intuitive for me. I’ve also met more than one man who I’d describe as way more affectionate and nurturing than the average woman!
Your husband might not *feel* nurtured, but I think from what you wrote you’re trying your best in that regard.
While I also agree it’s not your job to meet all his needs, there does need to be a degree of compromise, or give and take from both sides in a marriage, so maybe he could explain exactly what he needs/wants, instead of just saying “you suck at this” and expecting you to get better “just cos”.