Preheat your oven to 350

For the Béarnaise sauce. I used my leftover Béarnaise sauce that I had in the fridge so it was more firm like a compound butter. I take it out a couple hours ahead of time to reduce the chill but will still have a good firmness to it.

Is a small pot add the butter, garlic, 2 tap old bay and heat through until it comes together

Add a couple tbsp butter to your oven safe pan and heat until bubbly. Add the shrimp in the shells and sear for about a minute a side then add to you poaching liquid and cover on low

Season your filets with salt and pepper and in the same pan you seared the shrimp add another tbsp of butter and sear the filets until golden brown on both sides. Add to the oven and cook for about 10 minutes for medium rare

Take the filets out of the oven and set aside to rest. At that time add another tbsp of butter and whisk with the juice in the pot to make the pan sauce. Plate the filet. Remove the shrimp shells but not the tail shell and plate around the filet. Pour in some of the pan sauce and add a dollop of cold Béarnaise sauce, sprinkle some dried tarragon and serve.