First put your fillets in a bowl and squeeze the juice from half of the lemon on the fillets. Now sprinkle the dill weed onto the fillets. Turn the fillets over a few times getting them evenly coated with the lemon and dill weed.
Let them rest while you put the skillet on at medium high. Eyeball just enough olive oil to coat the bottom of the skillet. Now add the butter. When the butter has stopped foaming lay the fillets in the pan with the skin side up. Or if they have been skinned then the side with the gray stripe down the middle will be the up side.
Now cook the fillets for about 3-4 minutes depending on their thickness. Turn them over and another 3-4 minutes. To test to see if they are done just take a table fork and gently insert it into the fillet. Twist it just a little and if it and wants to flake it is ready. Another way to tell they are ready is when some white liquid shows on the top or the sides of a fillet ,they are done.
Keyword gluten free, main course, paleo, quick and easy, seafood