Rinse and drain the chard, but don't spin dry.
Bring a large pot of well-salted water to a boil.
Meanwhile, in a large skillet, heat 2 Tbs. of the oil over medium-high heat. Add the chard, 3 Tbs. water, and a generous pinch of salt. Cook, stirring occasionally, until wilted, about 5 minutes. Add the shrimp and pepper flakes; cook, stirring occasionally, until the shrimp is just cooked through, 3 to 4 minutes more. Remove from the heat and set aside.
Boil the pasta according to package directions until al dente. Reserve 1 cup of the cooking water, then drain the pasta. Return the reserved cooking water to the pot. Add the remaining 1/4 cup oil, lemon zest, and cream. Bring to a boil, and cook until slightly thickened, about 2 minutes. Add the pasta, lemon juice, and 1/4 tsp. salt. Toss together and remove from the heat.
Add the chard mixture and toss for about 1 minute to allow the pasta to absorb some of the sauce. Season to taste with salt and pepper, and serve.
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