Heat olive oil over medium heat and add the prosciutto. Cook until it begins to brown, 2-3 minutes, then set aside and roughly chop once cooled.
Turn the heat off and add the vodka. Set the heat to medium and use a silicone spatula to clean the bottom and sides of the skillet (there may not be a ton of remnants from the meat, that’s okay)! Let it bubble gently and reduce by half, about 4-5 minutes (or until you can no longer smell alcohol).
Add the butter and garlic and cook for 1-2 minutes. Add the tomato paste, chicken broth, chicken bouillon, honey, hot sauce, seasonings, and cooked prosciutto. Stir to combine.
Add the crushed tomatoes. Bring to a boil, then reduce to a simmer. Let it bubble gently and reduce, partially covered while you start to boil salted water for the pasta.
Once a boil is reached, cook the penne for 1 minute less than al dente. Drain and reserve some of the pasta water.
Reduce heat to low. Stir the cream into the sauce until combined, then add the cooked penne and stir to combine.
Add pasta water as needed to control the consistency. It will add a creamy finish and help the pasta cling onto the sauce.
Remove from heat and swirl in 1 tablespoon of cold butter prior to serving. (This is optional, it adds a smooth, sparkly finish.)
Serve with freshly grated parmesan cheese!