Melt butter in a large pot over medium heat. Once butter foams, add onion and celery, and season generously with salt. Cook, stirring occasionally, until vegetables are tender but not browned, about 5 minutes.
Add rutabaga and broth, bring to a boil, then reduce heat to low and simmer until rutabaga is tender when pierced with a fork, about 30 minutes. Add half-and-half, paprika, and white pepper and stir to combine.
Allow soup to cool slightly, then purée in a blender until smooth. (You will have to do this in batches.) Taste and season with more salt and white pepper as needed.
Beverage pairing:Royal Oak Pale Ale, England. Soft bubbles make for a nice contrast with a creamy bisque, while the modestly sweet malt of an ale will not offend the rutabaga. A light hoppy character in the beer adds complexity to the pairing without bringing in bitterness.