If it is a joist, and NOT a bottom chord of a truss, it can be framed out with additonal support, to move the duct. If it's the bottom chord of a truss, you need to pick a different hood, with a bigger chimney, that can hide the duct bend.

I had the same thought about switching to a different hood with a wider chimney. Sell or return the other one. Might not need to be this wide, but something this this?

Thteee is a second floor and room above that, so I would assume that it is a not the bottom chord of a truss. How much of the new Sheetrock would they have to cutout? I am assuming it could isolated to a small are near where the exhaust enters the ceiling?

With a second floor, there is a high chance that it is an engineered I joist that will need a structural engineer's written specifications to get the permit to cut into and re-support. Your GC should have the info for that.

Reframe; it ain't all that.

Joseph, are you saying that to reframe the joist to allow for the duct to be moved over is not a large project? Even though the ceiling has been dry walled and painted? That’s the resolution that we want, I just don’t know how much effort that would be and if it is realistic for me to expect our contractor to do so. Seems like they should have addressed when the room was demo’d to studs 🤷‍♂️

I would go with a wider chimney at this point. Easy fix without having to tear things up.

Wider vent plus wider chimney is the better solution all the way around. And a much better quality one as well.

Could have been addressed in the plans & engineering IF the hood was selected & everything built exactly per & ceiling opened up etc. BUT a few adjustments to cabinets & appliance sizes and suddenly the hood centerline is moved a few inches and a small chimney doesn't work anymore. Rare we do a chimney like this.