How not to make broccoli cheese soup

If I tried this again, maybe I would make a quick roux out of flour and butter, then add milk, then melt shredded cheddar in it, then puree some steamed broccoli and add that in there. Maybe that would work. I tried making a quick one by putting some raw broccoli in the food processor, sauteing it in some butter, adding milk and cheese and thickening it with some instant mashed potatoes. (Hangs head in shame). Then I tried to get it to come together with the immersion blender. And it looks okay in the picture, but looks can be deceiving. I thought the taste was actually pretty good, but the consistency was awful and Tom hated it. Which seems impossible, because he loves broccoli and he loves cheese.

Maybe next time, but I think I've lost my taste for this for a while.