I'm so sorry that you're having this experience, it sounds horrendous and also such an unfair choice to have to make, between crippling depression and sexual desire.

A couple of things:

Does cuddling still feel good? Would naked cuddling feel good? Like even if it doesn't lead to sex and you set the expectation with her that you don't think it's likely it would lead to sex beforehand so she's not disappointed, naked cuddling might still help you bond and release oxytocin. Just like massage as well. If it's the specifically sexual parts of the body that turn off during sex, maybe even stroking shoulders, arms, face lovingly could be something you enjoy?

Obviously if physical touch in general feels like "nothing" this wouldn't work. :(

The other question is - have you tried weed? Cannabis especially in edible form is the most potent female aphrodisiac I've ever had. I've been on SSRIs and had weed and it worked. My partner has also been on antidepressants for years and weed really helped his libido too.

Sending love to you and your wife! <3