Whatever it takes

I think the correct form of address in this case would follow the convention of using the relevant positional title, before the name, then appending it with the feudal title.

“Scumbag Aldrith, Lord-Consort Newelle”

It’s a contextual thing. Like… if someone has a Navy rank, and a feudal rank, then when referring to them when discussing Naval matters, it would be “Captain (name), Lord (holding title)”. Consorts are referred to by the name of their senior spouse.
When referring to them in civil matters, they’d be referred to only by their feudal title.

So, it would be along the lines of…
Captain Shutaq, Lord-Consort Newelle when addressing, or referring to, Aldieboo on military matters.
Aldrith, Lord-Consort Newelle, when addressing or referring to him in civil matters.
Lord Aldrith, when you’re one of his subject peons supplicating to him.
Scumbag Shutaq, Lord-Consort Newelle, when addressing him in the context of him being a scumbag for some reason.