I'm not really arsed about her opinion on gender.
FWIW, I am a man. I first came across the "trans rights" arguments through Jordan Peterson arguing against pronouns, then came onto Mumsnet (for other reasons) and decided I agreed with the arguments regarding single-sex spaces and trans-women in sports - there are two sexes, it's mental to suggest otherwise, and women need sex-segregated spaces. Happy to see men in dresses, make-up, fill your boots chap. You're still a bloke in a dress, but good for you.
My problem is that it doesn't seem particularly "decent" for the spouse of a politician to use their column in the most popular newspaper in the country to launch specific attacks against their partner's political enemies (whether I agree with their arguments or not).
Also, FWIW, I don't insist on calling her "Mrs Gove", but I think that it is a useful shorthand for highlighting to people who may not know that this is not your standard objective (as much as they can be) journalist, but someone with some serious skin in the game.
If Gove himself had written the article, I wouldn't have a problem, because it would have been clearly noted as a party political article.