Put the shallot and garlic together in small bowl and set aside.
Measure out the flour.
In a small bowl mix together the chives, lemon zest and lemon juice. Set aside.
Measure out the milk and red pepper flakes and set aside.
Pat the salmon dry. Generously season the fish with salt and pepper.
In a large skillet heat the olive oil over medium high heat. Once the oil is hot, place the salmon skin-side up and cook for about 4 minutes.
Flip the salmon over and continue cooking for an additional 4 minutes.
Remove the salmon from the skillet and place on a plate.
Reduce the heat to medium-low add butter and melt.
Add the shallots, garlic, salt and cook until soft about 1-2 minutes.
Stir in the gluten-free flour and cook for about 1 minute. Add vermouth, milk, and water to the pan. Whisk until smooth.
Add lemon juice, lemon zest, and chives. Stir until combined.
Place the salmon back into the pan skin side up and let simmer for about one minute to absorb the flavor.
Remove salmon from the pan and plate it skin side down.
Drizzle the sauce over the salmon.
Garnish with slice of lemon and sprigs of fresh chives.
Serve.