Klingons are a most wholesome species

Canonically klingons are totally cool with someone transitioning:

The pep talk that Ma'at gives to Mariner in Lower Decks is another shining example of Klingon awesome.

I think that something that should be kept in mind is that for a Klingon, what they do is combat but not necessarily physically. Say you're a Klingon architect, your foe is gravity and the laws of physics. As a Klingon doctor, your foe is disease and ultimately death itself. A Klingon chef fights bland palates and hunger and keeps their customers fighting fit.